Question

Which of the following equations is of a parabola with a vertex at (0, -5)? Oy=(x-5)² Oy=(x + 5)² Oy=x²2²-5 Oy=x² +5 Which of the following equations is of a parabola with a vertex at ( 0 , -5 ) ? Oy = ( x - 5 ) ² Oy = ( x + 5 ) ² Oy = x²2² - 5 Oy = x² +5

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The equation of a parabola with the given vertex.

Given:

vertex (0, -5)

Step 1

Recall the general equation of a parabola.

`y=a(x-h)^2+k`

where (h, k) is the vertex.

Step 2

a=1

substitute h=0 and k=-5

`y=(x-0)^2-5`

Step 3

Simplify.

`y=x^2-5`

ANSWER

y = x² -5