Question

Use the image to answer the question.

A curve labeled g left parenthesis x right parenthesis is plotted in quadrant 1 of a coordinate plane.
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The values on the x-axis range from 0 to 10 in increments of 2. The values on the y-axis range from 0 to 8 in increments of 2. The curve begins at left parenthesis 7 comma 3 right parenthesis and slopes upward from left to right, passing through left parenthesis 10 comma 4.8 right parenthesis. All values are approximate.

Consider the quadratic function that represents the inverse of the graphed square root function. What would be the vertex of the related quadratic function?

(1 point)

Answer 1

(7, 3)

Reason: If g(x) = a·√(x − 7) + 3, its inverse is x = a·√(y − 3) + 7 → y = (1/a^2)(x − 7)^2 + 3, a parabola with vertex (7, 3).