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SSAT Upper Level Math : Transformation

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #201 : Coordinate Geometry

Function 1

What equation is graphed in the above figure?

Possible Answers:

$y = \left \lfloor x\right \rfloor + 4$ $\displaystyle y = \left \lfloor x\right \rfloor + 4$

$y = \left \lfloor x\right \rfloor - 4$ $\displaystyle y = \left \lfloor x\right \rfloor - 4$

$y = \left \lceil x\right \rceil+ 5$ $\displaystyle y = \left \lceil x\right \rceil+ 5$

$y = \left \lfloor x\right \rfloor + 5$ $\displaystyle y = \left \lfloor x\right \rfloor + 5$

$y = \left \lceil x\right \rceil+ 4$ $\displaystyle y = \left \lceil x\right \rceil+ 4$

Correct answer:

$y = \left \lceil x\right \rceil+ 4$ $\displaystyle y = \left \lceil x\right \rceil+ 4$

Explanation:

The least integer function, or celing function, $f(x) = \left \lceil x\right \rceil$ $\displaystyle f(x) = \left \lceil x\right \rceil$ , pairs each value of $\displaystyle x$ with the least integer greater than or equal to $\displaystyle x$ . Its graph is below.

Ceiling function

The given graph is the above graph shifted upward four units. The graph of any function $\displaystyle y = f(x)$ shifted upward four units is $\displaystyle y = f(x) + 4$ , so the given graph corresponds to equation $y = \left \lceil x\right \rceil+ 4$ $\displaystyle y = \left \lceil x\right \rceil+ 4$ .

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Example Question #202 : Coordinate Geometry

Function

Give the equation graphed in the above figure.

Possible Answers:

$\displaystyle y = |x+5|$

$\displaystyle y = |x| + 5$

$\displaystyle y = |x-5|$

$\displaystyle y = |5x|$

$\displaystyle y = |x| -5$

Correct answer:

$\displaystyle y = |x| + 5$

Explanation:

The graph below is the graph of the absolute value function $\displaystyle f(x)= |x|$ , which pairs each $\displaystyle x$ -coordinate with its absolute value.

Absolute value graph

The given graph is the above graph shifted upward five units. The graph of any function $\displaystyle y = f(x)$ shifted upward five units is $\displaystyle y = f(x)+5$ , so the correct response is $\displaystyle y = |x| + 5$ .

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SSAT Upper Level Math : Transformation

Study concepts, example questions & explanations for SSAT Upper Level Math

All SSAT Upper Level Math Resources

Example Questions

Example Question #201 : Coordinate Geometry

Example Question #202 : Coordinate Geometry

All SSAT Upper Level Math Resources

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