What is the equation of this function?

f ( x ) = 1 2 ( x + 3 ) + 2 f\left(x\right)\ =\ \frac{1}{2}\sqrt{\left(x\ +\ 3\right)}+2 f ( x ) = 2 1 ( x + 3 ) <path d="M263,681c0.7,0,18,39.7,52,119c34,79.3,68.167, 158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120c340,-704.7,510.7,-1060.3,512,-1067 c4.7,-7.3,11,-11,19,-11H40000v40H1012.3s-271.3,567,-271.3,567c-38.7,80.7,-84, 175,-136,283c-52,108,-89.167,185.3,-111.5,232c-22.3,46.7,-33.8,70.3,-34.5,71 c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1s-109,-253,-109,-253c-72.7,-168,-109.3, -252,-110,-252c-10.7,8,-22,16.7,-34,26c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26 s76,-59,76,-59s76,-60,76,-60z M1001 80H40000v40H1012z"> + 2

f ( x ) = ( x − 3 ) + 2 f\left(x\right)\ =\ \sqrt{\left(x-3\right)}+2 f ( x ) = ( x − 3 ) <path d="M263,681c0.7,0,18,39.7,52,119c34,79.3,68.167, 158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120c340,-704.7,510.7,-1060.3,512,-1067 c4.7,-7.3,11,-11,19,-11H40000v40H1012.3s-271.3,567,-271.3,567c-38.7,80.7,-84, 175,-136,283c-52,108,-89.167,185.3,-111.5,232c-22.3,46.7,-33.8,70.3,-34.5,71 c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1s-109,-253,-109,-253c-72.7,-168,-109.3, -252,-110,-252c-10.7,8,-22,16.7,-34,26c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26 s76,-59,76,-59s76,-60,76,-60z M1001 80H40000v40H1012z"> + 2

f ( x ) = 2 ( x + 3 ) + 2 f\left(x\right)\ =\ 2\sqrt{\left(x+3\right)}+2 f ( x ) = 2 ( x + 3 ) <path d="M263,681c0.7,0,18,39.7,52,119c34,79.3,68.167, 158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120c340,-704.7,510.7,-1060.3,512,-1067 c4.7,-7.3,11,-11,19,-11H40000v40H1012.3s-271.3,567,-271.3,567c-38.7,80.7,-84, 175,-136,283c-52,108,-89.167,185.3,-111.5,232c-22.3,46.7,-33.8,70.3,-34.5,71 c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1s-109,-253,-109,-253c-72.7,-168,-109.3, -252,-110,-252c-10.7,8,-22,16.7,-34,26c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26 s76,-59,76,-59s76,-60,76,-60z M1001 80H40000v40H1012z"> + 2

f ( x ) = ( x + 3 ) + 2 f\left(x\right)\ =\ \sqrt{\left(x\ +\ 3\right)}+2 f ( x ) = ( x + 3 ) <path d="M263,681c0.7,0,18,39.7,52,119c34,79.3,68.167, 158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120c340,-704.7,510.7,-1060.3,512,-1067 c4.7,-7.3,11,-11,19,-11H40000v40H1012.3s-271.3,567,-271.3,567c-38.7,80.7,-84, 175,-136,283c-52,108,-89.167,185.3,-111.5,232c-22.3,46.7,-33.8,70.3,-34.5,71 c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1s-109,-253,-109,-253c-72.7,-168,-109.3, -252,-110,-252c-10.7,8,-22,16.7,-34,26c-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26 s76,-59,76,-59s76,-60,76,-60z M1001 80H40000v40H1012z"> + 2

What is the equation of this function?

f ( x ) = 4 ( x + 3 ) − 2 f\left(x\right)\ =\ 4^{\left(x+3\right)}-2 f ( x ) = 4 ( x + 3 ) − 2

f ( x ) = 2 ( x − 3 ) − 2 f\left(x\right)\ =\ 2^{\left(x-3\right)}-2 f ( x ) = 2 ( x − 3 ) − 2

f ( x ) = 3 ( x + 3 ) + 2 f\left(x\right)\ =\ 3^{\left(x+3\right)}+2 f ( x ) = 3 ( x + 3 ) + 2

f ( x ) = 4 ( x − 3 ) − 2 f\left(x\right)\ =\ 4^{\left(x-3\right)}-2 f ( x ) = 4 ( x − 3 ) − 2

Parent Functions Review

Authored by Suzanne Bowes

Mathematics

11th Grade

CCSS covered

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Absolute Value

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Linear

Hyperbolic

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Absolute Value

Hyperbolic

Square Root

Linear

MULTIPLE CHOICE QUESTION

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Which Parent Function is this a graph of?

Logarithmic

Exponential

Cubic

Linear

MULTIPLE CHOICE QUESTION

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Which Parent Function is this a graph of?

Hyperbolic

Absolute Value

Exponential

Cubic

MULTIPLE CHOICE QUESTION

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Which Parent Function is this a graph of?

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