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The parabola
y=x^(2) is shifted up by 2 units and to the right by 3 units.
What is the equation of the new parabola?

y=

The parabola $y=x^{2}$ is shifted up by $2$ units and to the right by $3$ units. $\newline$ What is the equation of the new parabola? $\newline$ $y=$

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Transformations of functions

Full solution

Q. The parabola

y=x^{2}

is shifted up by

2

units and to the right by

3

units.

\newline

What is the equation of the new parabola?

\newline

y=

Add $2$ units: To shift the parabola $y=x^2$ up by $2$ units, we add $2$ to the original equation. $\newline$ $y = x^2 + 2$
Replace $x$ with $(x - 3)$ : To shift the parabola to the right by $3$ units, we replace $x$ with $(x - 3)$ in the original equation. $\newline$ $y = (x - 3)^2 + 2$
Final equation: Now we have the equation of the new parabola after applying both transformations. $\newline$ $y = (x - 3)^2 + 2$ is the final equation.

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\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{]}

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Question

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\newline

\newline

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\newline

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Question

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Question

y=x^{2}

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Question

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Question

Graph the function

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\newline

Plot the vertex. Then plot another point on the parabola. If you make a mistake, you can erase your parabola by selecting the second point and placing it on top of the first.

\newline

\newline

\newline

\newline

\newline

100

Posted 5 hours ago