Name
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3-3 Lesson Quiz
Transforming Linear Functions
1. Given g(x) = f(x) + k, what value of k transforms function f into g?
4
y
f
g 2
x
O
−4 −2
2
4
−2
−4
2. Given f(x) = −7x + 9 and h(x) = −5f(x), what are the slope and y-intercept of the
graph of function h?
slope =
y-intercept =
3. Graph the function f(x) = __
​​  13 ​​ x + 1 and the function g(x) = f(6x).
4
y
2
x
−4 −2
O
2
4
−2
−4
4. Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g?
𝖠 g(x) = 6x + 1
𝖡 g(x) = 6x − 1
𝖢 g(x) = 8x + 15
𝖣 g(x) = 8x − 15
5. Keenan buys an embroidery machine for $1,400. He uses it to embroider
T-shirts. His total profit in dollars from selling the T-shirts is represented with
the function f(x) = 12x − 1,400. When the machine breaks, he pays $135 to
have it fixed. How does that cost affect a graph of Keenan’s profit function?
𝖠 The graph is translated up 135 units.
𝖡 ​The graph is translated down 135 units.
𝖢 ​The graph is translated left 135 units.
𝖣 ​The graph is translated right 135 units.
enVision® Integrated Mathematics I • Assessment Resources