Question

Does the absolute value graph below flips or not flips? F(x)=2|x-9|+3

Answer 1

Answer:

The absolute value graph below does not flip.

Step-by-step explanation:

New graphs are made when transformed from their parents graphs. The parent graph for an absolute value graph is f(x) = |x|.

The equation used for a new graph transformed from the parent graph is in the form f(x) = a |k(x - d)| + c.

"a" shows vertical stretch (a>1) or vertical compression (0<a<1), and flip across the x-axis if "a" is negative.

"k" shows horizontal stretch (0<k<1) or horizontal compression (k>1), and flip across the y-axis if "k" is negative.

"d" shows horizontal shifts left (positive number) or right (negative number).

"c" shows vertical shifts up (positive) or down (negative).

The function f(x)=2|x-9|+3 has these transformations from the parent graph:

a = 2; Vertical stretch by a factor of 2

k = 1; No change

d = 9; Horizontal shift right 9 units

c = 3; Vertical shift up 3 units

Since neither "a" nor "k" was negative, there were no flips, also known as reflections.