Let and . Which statement best describes the relationship between the graphs of and…

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

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