Can someone put this into vertex form?
y=x2+24x-15

Answer:

The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159

Step-by-step explanation:

The vertex form of the quadratic equation y = ax² + bx + c is

y = a(x - h)² + k, where

Let us use the facts above to solve the question

∵ y = x² + 24x - 15

∵ a is the coefficient of x² and b is the coefficient of x

∴ a = 1 and b = 24

∵ h is the x-coordinate of the vertex point

∵ h = [tex]\frac{-b}{2a}[/tex]

→ Substitute the values of a and b to find h

∴ h = [tex]\frac{-24}{2(1)}=\frac{-24}{2}[/tex]

∴ h = -12

→ To find k substitute y by k and x by h

∵ y = k and x = h

∴ k = (-12)² + 24(-12) - 15 = 144 - 288 - 15

∴ k = -159

∴ The coordinates of the vertex point are (-12, -159)

→ Substitute the values of a, h, and k in the vertex form above

∵ y = 1(x - -12)² + (-159)

→ Remember (-)(-) = (+) and (+)(-) = (-)

∴ y = (x + 12)² - 159

∴ The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159

Answer:

sure.

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