Question

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Part 1

An architect uses a computer program to design a skateboard ramp. The function ​f(x)ax represents the shape of the​ ramp's cross section. A portion of the design is shown. On the​ ramp, a person can skateboard from point A through point B and over to point C. If point C is the same distance above the​ x-axis as point​ B, what are its​ coordinates? Explain. Assume that each grid line represents one​ unit, with the intersection of the​ x- and​ y-axes being the point​ (0,0).

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Part 1

Since point B is located at


enter your response here

and the skateboard ramp is symmetric about the

▼

point C will be located at


enter your response here

.

​(Simplify your answers. Type ordered​ pairs.)

Answer 1

B = (7, 2)

origin (0, 0)

C = (-7, 2)

Explanation:

From inspection of the graph, point B is at (7, 2).

The vertex of the parabola is at (0, 0) so the axis of symmetry is x = 0.

Therefore, point C will have the same y-value as point B, and the same x-value but in the negative ⇒ (-7, 2)