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Math To Do, i-Ready
New lab

x+
ready.com/student/dashboard/home
If
f(x)=-4x-2 is vertically translated 6 units up to
g(x), what is the
y-intercept of
g(x) ?
4

-8
6

-2
My Progress

Math To Do, i-Ready $\newline$ New lab $\newline$ $x+$ $\newline$ ready.com/student/dashboard/home $\newline$ If $f(x)=-4 x-2$ is vertically translated $6$ units up to $g(x)$ , what is the $y$ -intercept of $g(x)$ ? $\newline$ $4$ $\newline$ $-8$ $\newline$ $6$ $\newline$ $-2$ $\newline$ My Progress

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Transformations of functions

Full solution

Q. Math To Do, i-Ready

\newline

New lab

\newline

x+

\newline

ready.com/student/dashboard/home

\newline

If

f(x)=-4 x-2

is vertically translated

6

units up to

g(x)

, what is the

y

-intercept of

g(x)

?

\newline

4

\newline

-8

\newline

6

\newline

-2

\newline

My Progress

Identify Function & Transformation: Identify the original function and the transformation required. $f(x) = -4x - 2$ needs to be translated $6$ units up, which means we add $6$ to the entire function.
Simplify New Function: Simplify $g(x)$ to find the new function. $g(x) = -4x - 2 + 6 = -4x + 4$ .
Determine Y-Intercept: Determine the y-intercept of $g(x)$ . The y-intercept is the value of $g(x)$ when $x = 0$ . Substituting $x = 0$ in $g(x)$ , we get $g(0) = -4(0) + 4 = 4$ .

More problems from Transformations of functions

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g(x)

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f(x)=9|x+2|-4

\newline

\newline

\text{}(A)g(x) = 9|x+2| - 4\text{]}

\newline

\text{}(B)g(x) = 9|x-2| - 4\text{]}

\newline

\text{}(C)g(x)=-9|x-2| +4\text{]}

\newline

\text{(D)}g(x) = -9|x + 2| + 4\text{]}

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Question

What kind of transformation converts the graph of

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\newline

\newline

\text{[A]translation 10 units up}

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