Question

A student graphed f(x) = x and g(x) = -5f(x) + 2 on the same coordinate grid. Which statement describes how the graphs of f(x) and g(x) are related?

The graph of f(x) is translated 5 units up to create the graph of g(x).
The graph of g(x) is translated 2 units down and is less steep than the graph of f(x).
The graph of f(x) is translated 5 units down to create the graph of g(x).
The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

Answer 1

Answer:

ME TOO

Step-by-step explanation:

Answer 2

Function transformation involves changing the position of a function.

The relationship between f(x) and g(x) is (d) The graph of g(x) is translated 2 units up and is steeper than the graph of f(x).

The functions are given as:

$\mathbf{f(x) = x}$

$\mathbf{g(x) = -5f(x) + 2}$

Substitute x for f(x) in g(x)

$\mathbf{g(x) = -5x + 2}$

The +2 in $\mathbf{g(x) = -5x + 2}$ means that, g(x) is gotten by translating f(x) up by 2 units.

The -5 in $\mathbf{g(x) = -5x + 2}$ means that, g(x) has a steeper slope.

Hence, the correct option is (d)

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