Question

Find the x-intercept(s) and the coordinates of the vertex for the parabola y=-x-8x-16. If there is more than one x-intercept, separate them with commas.

x-intercept(s):
vertex

Answer 1

• x-intercept(s): (- 4, 0)
• Vertex: (- 4, 0)

----------------------------------------

Given parabola:

• y = - x² - 8x - 16

Convert the equation into vertex form y = a(x - h)² + k, where (h, k) is the vertex.

• y = - x² - 8x - 16
• y = - (x² + 8x + 16)
• y = - (x + 4)²

The vertex is ( - 4, 0).

The x-intercepts are the points with the y = 0, which as we see is same as the vertex:

• - (x + 4)² = 0
• x + 4 = 0
• x = - 4