Question

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

Answer 1

sure.

Explanation:

Answer 2

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

Explanation:

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

y = a(x - h)² + k, where

• a is the coefficient of x²

• (h, k) are the coordinates of the vertex point

• h =
  `(-b)/(2a)` , where b is the coefficient of x

• k = y at x = h

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 =
`(-b)/(2a)`

→ Substitute the values of a and b to find h

∴ h =
`(-24)/(2(1))=(-24)/(2)`

∴ 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