Mathematics High School

Describe the graph of the quadratic from the original y = x^2 .
y = 5(x+4)2 + 7
a. Wider/narrower?
b. Shifts left/right?
c. Opens up/down?
d. Shifts up/down?

Answers

Answer 1

Answer:

a. Narrower

b. Shifts left

c. Opens up

d. Shifts up

Step-by-step explanation:

The original quadratic equation is y = x²

The given quadratic equation is y = 5·(x + 4)² + 7

The given quadratic equation is of the form, f(x) = a·(x - h)² + k

a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation

The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is narrower

b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry shifts left

c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation opens down

d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, shifts up.

Related Questions

What is the missing term?​

Answers

Answer:

Missing term = 6x

Step-by-step explanation:

We got:

=> 4x by multiplying +4 and x (x * 4 = 4x)

=> 12 by multiplying +4 and +3 (4 * 3 = 12)

=> 2x² by multiplying 2x and x (2x * x = 2x²)

Similarly we will get the "missing term" by multiplying 2x and +3

=> Missing term = 6x, (2x * 3 = 6x)

Hope this helps!

Answer: 6x

Reasoning : 2x • 3 = 6x

corresponding points of (-1, 1/2)

Answers

Answer:

(-2,0), (-1,1), (0,2)

Step-by-step explanation:

Which expression is equivalent to (2x+3)(3x2−2x+5)?

Answers

Answer:

See the steps below:)

Step-by-step explanation:

Expression is equivalent to (2x+3)(3x²−2x+5) is 6x³+5x²+4x+15.

What are equivalent expressions ?

An expression can be of many types numerical expressions, Algebraic expressions.We can also form these mathematical expressions from a given statement or by observing a real world scenario.

Equivalent expressions are same expressions in different forms.To check whether an expression is equivalent to another expression or not we just need to do some algebraic manipulations.Like distributing or taking common and other algebraic and arithmetic operations.

According to the given problem we have to write an expression which is equivalent to the expression (2x+3)(3x²-2x+5).

(2x+3)(3x²-2x+5)

= (2x+3)(3x²-2x+5)

=2x(3x²-2x+5)+3(3x²-2x+5)                                (now we will distribute)

=6x³-4x²+10x+9x²-6x+15

=6x³+5x²+4x+15.

Learn more about equivalent expressions here :

https://brainly.com/question/3644212

#SPJ6

Find the area of the triangle

Answers

Answer:

Hello! answer: 84 sq mm

Step-by-step explanation:

To find triangle area we would do

base × height × 1/2 or

base × height ÷ 2 So...

14 × 12 = 168 168 ÷ 2 = 84 therefore the area is 84 sq mm HOPE THAT HELPS!

What is the volume, in cubic in, of a cylinder with a height of 12in and a base radius of 6in, to the nearest tenths place?

Answers

Answer: Therefore, the volume of cylinder is 1356.5 cubic inches.

Step-by-step explanation: First I took an ESTIMATE and then after I did my estimate I did the real deal, I took everything I knew and put it all together.

Answer:

12*8.49*8.49 = 8649612in^3

Step-by-step explanation:

I WILL GIVE BRAINLIEST IF ANSWER CORRECT

Solve the following inequality: 3 < x/2 + 1 *

Answers

Answer: x>9

Step-by-step explanation:

3 < x/2+1  

switch sides: x/2+1 > 3

Multiply sides by 3: 3x/2+1 > 3*3

Simplify: x>9

Find the period of an electromagnetic wave of wavelength 2.20 × 10–2 m. A. 1.36 × 1010 s c. 7.33 × 10–11 s b. 4.54 × 101 s d. 6.60 × 106 s

Answers

Answer:

7.33 * 10^-11 s

Step-by-step explanation:

Period, T = 1 / f

c = fλ

λ = 2.20 × 10^–2 m

c = speed of light = 3 * 10^8 m

f = c / λ

f = 3 * 10^8 ÷ 2.20 × 10^–2 m

f = (3/2.2) * 10^(8-(-2))

f = 1.364 * 10^10

T = 1/f

T = 1 / 1.364 * 10^10

T = 7.33 * 10^-11 s

By the end of February, Rachel's family had used 7,800 kilowatt hours (kWh) of electricity since they had moved in. On average, her family uses 900 kWh of electricity every month. Let x represent the number of months since the end of February and let y represent the electric meter reading, in kWh.

Answers

you need to calculate the equation and it should give you about 370 kilowatts

Help quick please !!!!!!!

Answers

Answer: y=3x

Step-by-step explanation:

Remember rise over run so go up until the next perfect cross and over. In this case you go up 3 and over 1

Hope this helps

The answer is y=3x lololdjjdjd

The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry

Answers

Answer:

16 ft.

Step-by-step explanation:

Distance Formula:

A = (2,2)

B = (12,14)

So, sqrt(12^2 + 10^2) = 16 ft.

This is the same for B to C.

So, 16 ft.

Mark me as Brainliest if this is correct! I really appreciate it! :D

PLEASE HELP I NEED THE ANSWER ASAP ILL GUVE BRAINLIST

Answers

Hope this helps. please mark me brainliest if it did

Answer:B $225

Step-by-step explanation:

$2,700.00 divided by 12 = $225

12 = 1 year

6. Write an equation that represents the
relationship “4 more than a number is 5"?

Answers

Answer:

4+x=5

Step-by-step explanation:

4+x=5

Sarah walks uphill at an average of 2 miles per hour, and downhill at an average of 4 miles per hour. She goes for a 6 mile hike up a hill, and then returns downhill by the same route. What is Sarah's average speed for the whole journey?

Answers

Answer:

48

Step-by-step explanation:

Answer:

Average of 3mph

Step-by-step explanation:

If Sarah goes uphill at 2mph and downhill at 4mph.

Then to find the average you can:

Add 2 plus 4

which equals 6

Then divide the sum of 6 by the number of values given, there are two values (2 and 4)

6 divided by 2 equals 3

So the average is 3mph

Find the probability of being below 514 if the mean of a normal distribution is 474 and the standard deviation is 32.

Answers

1,873

Step-by-step explanation:

Write an equation for the function that includes the points (1, 18) and (2, 54).

Answers

Answer:

y = 36x - 18

Step-by-step explanation:

(1,18) (2,54)

y2 - y1 / x2 - x1

54 - 18 / 2 - 1

36 / 1

= 36

y = 36x + b

18 = 36(1) + b

18 = 36 + b

-18 = b

...aeioutrssygrdhdth
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Answers

Answer:

Interesting... go on.

Step-by-step explanation:

PLEASE ANSWER QUICKLY

Answers

Answer:

60 - 40 = 20

20

Step-by-step explanation:

59.15 - 41.81 = 17.34

17.34 ≈ 20

it is 60 when you estimate it

easy algebra question below first correct answer gets brainliest

Answers

The answer to your question is simply 1

What is the measure of angle R?
110°
140°
125°
70°

Answers

70
Hope this helps :D

What's the slope for (1,-2) & (4,4)

Answers

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

Answer:

2

Step-by-step explanation:

When give two points, we can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 4- -2)/(4-1)

    = ( 4+2)/(4-1)

    = 6/3

     = 2

can y’all help me i’m taking a test

Answers

Answer:

Over time, the function is DECREASING. Cho ran at a faster rate during segment K.

Step-by-step explanation:

Decreasing during segment K

Find the corresponding time in the different countries in relation to the Philippine time. Choose the correct answer from the give choices.

Answers

There hope that helps pretty confident in those answers it helps to convert the 1:00pm to 13:00

What minus 9 equals 11

Answers

Answer:

20

Step-by-step explanation:

20 - 9 = 11

I hope this helps

Answer:

20

Step-by-step explanation:

Call the number you're trying to find  n.

"What" becomes  n.

n - 9 = 11

To "undo" the subtraction and reveal the value of  n ,  ADD 9 to both sides of the equation.  (Addition is the inverse operation of subtraction.)

n = 11 + 9 = 20

(4x²y³ + 2xy² - 2y) - (-7x²y³ + 6xy² - 2y)

Answers

Answer:

Simplified it would be 11x^2y^2 - 4xy^

Answer:

11x²y³ - 4xy²

Step-by-step explanation:

is the answer if simplified.

By rounding each number to 1 singnificant figure. estimate answers to:
a.) 8.2×6.7/0.46
b.) 23.4x13.9/0.18

(need answers for b.)

thank you!​

Answers

23 x 14/0.2= 1610 I think

Answer:

1000

Step-by-step explanation:

b.) 23.4x13.9/0.18= 1000

what are some good notes I can use to study for my algebra exam tomorrow?​

Answers

Answer:

all you need to do is look over your notes continue to partice as much as you can

Step-by-step explanation:

you got this

Practice questions and how to solve each type of questions

f(x) = -8 (5-x), what is the value of f(-4)?

Answers

Answer:

f(-4) is basically just saying that you need to use the function given while x = -4.

The function given:

f(x) = -8(5-x)

We see that f(-4) means that x has to be -4, so we can substitute it in:

f(-4) = -8(5-(-4))

f(-4) = -8(9)

f(-4) = -72

Therefore, f(-4) is -72.

Which is the solution for the system of linear equations below?

y= -1/3x + 3
y = -x + 1

Answers

Answer:

x= −3 and y= 4

not sure if this is what your looking for tho

Step-by-step explanation:

( Picture Included )Help please, and don’t comment unnecessary things.

Answers

Answer:

Angle 1 and Angle 8 are alternate exterior angles.

Step-by-step explanation:

If this helps please mark as brainliest

Which algebraic expression below represents four multiplied by a number?
A. 4 – x
B. x + 4
C. 4x
D.

Answers

Answer:

Step-by-step explanation:

option c is correct

product of two numbers can be written as 4x

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