Question

Which of the equations below could be the equation of this parabola?

(0,0)
-10 Vertex
-10
O A. y=x²
О в. х---Буг
O c. y--²
y=
O D. x-²
10
X

Answer 1

To determine which equation could represent the given parabola with a vertex at (-10, 0), we need to consider the general form of a parabolic equation: y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.

Given that the vertex is (-10, 0), we can substitute these values into the general form equation:

y = a(x - (-10))^2 + 0

y = a(x + 10)^2

Now, let's analyze the given options:

A. y = x^2: This equation represents a parabola with a vertex at (0, 0), not (-10, 0). Therefore, it does not match the given vertex.

B. y = x - 10: This equation represents a linear function, not a parabola. It does not match the given vertex.

C. y = -x^2: This equation represents a parabola with a vertex at (0, 0), not (-10, 0). Therefore, it does not match the given vertex.

D. y = (x - 10)^2: This equation represents a parabola with a vertex at (10, 0), not (-10, 0). Therefore, it does not match the given vertex.

None of the given options match the equation of the parabola with a vertex at (-10, 0).