Mathematics

Mathematics

Problem

Let

y_1(x)=4+\displaystyle\int_{2}^{x}(t^{2}-1)\,dt

and

y_2(x)=-1+\displaystyle\int_{2}^{x}(t^{2}-1)\,dt

. Which statement best describes the relationship between the graphs of

y_1

and

y_2

? a)

y_2

is the graph of

y_1

shifted upward 5 units for all

x

. b)

y_1

and

y_2

intersect at exactly one

x

\!-value other than

x=2

. c)

y_2

is the graph of

y_1

shifted downward 5 units for all

x

. d)

y_2

is the graph of

y_1

shifted downward 3 units for all

x

.

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