Question

Use the image to answer the question.

A parabola and a dotted straight line are drawn on a coordinate plane. The x-axis ranges from negative 5 to 10 in one-unit increments and the y-axis ranges from 0 to 15 in one-unit increments.
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A solid parabola descends through left parenthesis negative 1.3 comma 15 right parenthesis, left parenthesis 0 comma 7 right parenthesis, passes through plotted and marked point left parenthesis 1 comma 3 right parenthesis, descends to its vertex at left parenthesis 2.5 comma 0.75 right parenthesis, rises through left parenthesis 5 comma 7 right parenthesis, and passes through plotted and marked point left parenthesis 6 comma 13 right parenthesis. A dotted line intersects the parabola at the two plotted points at left parenthesis 1 comma 3 right parenthesis and left parenthesis 6 comma 13 right parenthesis.

The graph of g(x)
and f(x)
is shown. What is the smaller solution to g(x)=f(x)
?

(1 point)

6

13

3

1

Answer 1

1

The graphs intersect at the plotted points (1, 3) and (6, 13), so the smaller x-value solution is 1.