Question

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) - 9? (3 points)

The graph of y = f(x) will shift up 9 units.
The graph of y = f(x) will shift down 9 units.
The graph of y = f(x) will shift left 9 units.
The graph of y = f(x) will shift right 9 units.

Answer 1

@ShadowLegendX

Answer 2

C

Answer 3

you are taking 9 away from every function value.
So the whole graph is 9 less than before and will be vertical downshift of 9 units.

Answer 4

so B ?

Answer 5

if so im puzzled

Answer 6

what's puzzling?

Answer 7

i was so sure the answer was C

Answer 8

The rules for transformations

f(x) + k moves graph up k units
f(x) - k moves graph down k units
f(x-R) moves graph right R units
f(x+L) moves graph left L units

(k, L, R are all positive)

Try drawing these to verify
Draw y = x^2 and y = x^2 - 4 and see the difference.

Answer 9

oh okay i see

Answer 10

The difference between f(x) + k and f(x-k) is that for the former, you find the function at x then you add k units inducing a vertical shift.

f(x-k) you take k units away from each x value then apply the function after inducing a horizontal shift

Answer 11

okay so just to be clear answer is B

Answer 12

@mww

Answer 13

yes