Question

Suppose the point (6, -7) is on the graph of y = f(x). Find the corresponding point on the following transformations of f.

(a) y = −10f(x + 3)
(b) y= f(−x) + 3

Answer 1

hmm just put x = 6 and find y

Answer 2

When in doubt, pick C.

Answer 3

For A. I put y= -10(6)+3 and got -57 for the y-value but it's wrong.

Answer 4

for a, is y = 100?

Answer 5

hmm, no it says it's wrong.

Answer 6

ahhhhh, sorry i ve been bad


(a) y = −10f(x + 3)
the transformation applied to this graph is:
-1f(x) : flip graph upside down
10f(x) : stretch 10 times vertically
f(x+3) : move the graph to the left 3

here's what happens to point (6,-7) through each transformation.
after flip upside down, it's (6, 7). after stretch 10 times vertically, it's (6, 70). then after moving the graph to the left 3, it's (3, 70).

for a it's (3, 70), can you check if i'm right.

Answer 7

for (b)

y= f(−x) + 3
f(-x): reflect through y-axis
f(x) + 3: move up 3

(6,-7)
(-6,-7)
(-3,-7) <-----

Answer 8

Thank you so much! I got A. right but it still says B. is wrong.

Answer 9

OH MY BAD LOL
(-6, -4)
asdasd *shame* :>

Answer 10

Thank you so so much!