Question

Which of the following equations is of a parabola with a vertex at (0, -5)

y=(x-5)^2
y=(x+5)^2
y=x^2-5
y=x^2+5

Answer 1

The x, which is zero in this case will always be the number that goes on the inside of the equation, so far you have y=(x+0)^2 or y=x^2.

The y, which is negative will go on the end of the equation. So you get y=x^2-5

The equation is y=x^2-5 or C if it is multiple choice

Answer 2

Equation of parabola is y = x² - 5 .

Explanation:

Given : parabola with a vertex at (0, -5).

To find : which of the following equations is of a parabola.

Solution : We have given vertex at (0, -5).

Vertex form of parabola y = a(x - h)² + k .

Where (h ,k ) is vertex

We have h = 0 , k = -5 .

Equation : y = 1(x - 0)² - 5

y = x² - 5 .

Therefore, Equation of parabola is y = x² - 5 .