When the function f(x) = 6(9)x is changed to f(x) = 6(9)x + 1, what is the effect?

A.) There is no change to the graph because the exponential portion of the function remains the same.
B.) All input values are moved 1 space to the right.
C.) The x-intercept is 1 space higher.
D.) The y-intercept is 1 space higher.

Question

When the function f(x) = 6(9)x is changed to f(x) = 6(9)x + 1, what is the effect?

A.) There is no change to the graph because the exponential portion of the function remains the same.
B.) All input values are moved 1 space to the right.
C.) The x-intercept is 1 space higher.
D.) The y-intercept is 1 space higher.

fortytherapper · Answer

Are you familiar with y = mx + b?

anonymous · Answer

yes

idku · Answer

f(x)+b

is a vertical shift from

f(x)

by "b" units

idku · Answer

f(x-b)

is a horizontal shift from

f(x)

by "b" units

idku · Answer

If b is positive, then these shifts are up and right (respectively). If b is negative, then these shioft are down and left (respectively).

anonymous · Answer

@idku okay thank you! so the answer is C?

fortytherapper · Answer

What does the b in y = mx + b stand for?

anonymous · Answer

@FortyTheRapper the y-intercept

fortytherapper · Answer

Exactly! Think you know the answer now?

anonymous · Answer

@FortyTheRapper it's D right?

fortytherapper · Answer

Correct!

anonymous · Answer

@FortyTheRapper I get it now thank you!!

fortytherapper · Answer

Anytime!