Question

The axis of symmetry for the graph of a parabola is x = 3. If one point on the graph of the parabola is (0, -5), then another point on the graph is:

A. (6,-5)
B. (0, 2)
C. (3.-5)
D. (-5.0)

Answer 1

A

Explanation:

For any given point on a parabola,

(x,y)

If we know the axis of symmetry x=a.

We can find the other point

If the given point x value is less than the axis of symmetry

(x+2a,y)

if the given point y value is greater than axis of symmetry

(x-2a,y)

Here, since 0<3, we use the first formula to find the new point

(0+2(3),-5)=(6,-5)

So the point is A.

Answer 2

C, (3, -5) because if you go to 3,0 and mark it then mark 0,-5 and find the point where those points would meet, it is at 3,-5