Question

mead Sme Sormant Da Kuta Software - Infinite Algebra 2 Properties of Parabolas Identify the vertex of each. 1) y = x^2 + 16x + 64

Answer 1

(-8,0)

Step-by-step explanation:

If we have an equation with the form:

y = ax² + bx + c

The x-coordinate of the vertex will be: -b/2a

So, in this case, for the equation:

y = x² + 16x + 64

Where a = 1, b = 16, and c = 64

We get that the x-coordinate of the vertex is:

`x=(-b)/(2a)=(-16)/(2(1))=(-16)/(2)=-8`

Then, the y-coordinate can be calculated replacing x by -8 on the initial equation, so:

y = (-8)² + 16(-8) + 64

y = 64 - 128 +64

y = 0

Therefore, the vertex of the parabola is the point (-8, 0)