What kind of transformation converts the graph of f(x) = -3|x - 4| + 5 into the graph of g(x) = -3|x - 7| + 5? Choices: (A)translation 3 units right (B)translation 3 units left (C)translation 3 units up (D)translation 3 units down

Find Vertex of f(x): Find the vertex of f(x) = -3|x - 4| + 5. Vertex of f(x) is at x = 4, y = 5.Find Vertex of g(x): Find the vertex of g(x) = -3|x - 7| + 5. Vertex of g(x) is at x = 7, y = 5.Calculate Horizontal Shift: Calculate the horizontal shift between the vertices of f(x) and g(x). Shift = 7 - 4 = 3 units to the right.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What kind of transformation converts the graph of $f(x) = -3|x - 4| + 5$ into the graph of $g(x) = -3|x - 7| + 5$ ? $\newline$ Choices: $\newline$ (A) translation $3$ units right $\newline$ (B) translation $3$ units left $\newline$ (C) translation $3$ units up $\newline$ (D) translation $3$ units down

View step-by-step help

Home

Math Problems

Algebra 2

Describe function transformations

Full solution

Q. What kind of transformation converts the graph of

f(x) = -3|x - 4| + 5

into the graph of

g(x) = -3|x - 7| + 5

\newline

Choices:

\newline

(A) translation

3

units right

\newline

(B) translation

3

units left

\newline

3

units up

\newline

(D) translation

3

units down

Find Vertex of $f(x)$ : Find the vertex of $f(x) = -3|x - 4| + 5$ . $\newline$ Vertex of $f(x)$ is at $x = 4$ , $y = 5$ .
Find Vertex of $g(x)$ : Find the vertex of $g(x) = -3|x - 7| + 5$ . $\newline$ Vertex of $g(x)$ is at $x = 7$ , $y = 5$ .
Calculate Horizontal Shift: Calculate the horizontal shift between the vertices of $f(x)$ and $g(x)$ . $\text{Shift} = 7 - 4 = 3$ units to the right.