Grade 9 · Math · Algebra 1

9th grade Graph absolute value, square root and cube root functions worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Graph absolute value, square root and cube root functions

Grade 9 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Ari moves y = |x| to y = |x − 3| + 1 for a robot jump. The vertex row is done. Where does (2, 2) land? Write it like (7, -3).
Bo moves y = |x| to y = |x + 2| + 4 for a sled ramp in a game. The vertex row is done. Where does (1, 1) land? Write it like (7, -3).
Esme moves y = |x| to y = |x − 5| − 3 for a kite's dip in a game. The vertex row is done. Where does (-1, 1) land? Write it like (7, -3).
Jun moves y = |x| to y = |x + 4| − 1 for a scooter ramp in a game. The vertex row is done. Where does (3, 3) land? Write it like (7, -3).
Luz graphs y = |x − 6| + 1 on graph paper with a fresh pencil. Where is the vertex? Write it like (7, -3).
Milo graphs y = |x + 1| + 3 on the big classroom screen. Where is the vertex? Write it like (7, -3).
Use the picture in question 5.
Noah graphs y = |x − 2| − 5 on a treasure map grid. Where is the vertex? Write it like (7, -3).
Use the picture in question 5.
Pia sketches y = √(x − 2) + 5 for a playground slide model. Where does the graph start? Write it like (7, -3).
Ren sketches y = √(x + 3) + 1 for a boat ramp drawing. Where does the graph start? Write it like (7, -3).
Use the picture in question 8.
Tala sketches y = √(x − 4) − 2 for a snowy hill in a game. Where does the graph start? Write it like (7, -3).
Use the picture in question 8.

Graph absolute value, square root and cube root functions. Every version has 10 questions, and the answer key prints on the second page.

I can find the vertex of y = |x − 3| + 2 and the start point of y = √(x + 1) − 4 from the equation.
I can give the domain and range, and the slope of each side of a V.
I can move a point of y = |x| through a flip, a stretch and a shift, and pick the equation of a V from its graph.

Standard: F-IF.C.7b, F-BF.B.3, F-IF.B.5

vertex: The tip of a V, where the graph turns.

start point: Where a square root graph begins; nothing is drawn to its left.

domain: Every input (x-value) the graph uses.

range: Every output (y-value) the graph reaches.

stretch: Multiplying every output by the same number; the V gets steeper.

Your child moved the graph the wrong way left or right. In y = |x − 3| the graph moves right 3, because x = 3 makes the inside 0.

Your child swapped the left-right move and the up-down move.

Your child said every number works, but this graph has a lowest point or a starting point.

Ask: which x-value makes the inside 0?

Ask: which number is inside the bars or the root (it moves left or right), and which is outside (it moves up or down)?

Ask: is there a value the graph never goes past?

What is the most common mistake with graph absolute value, square root and cube root functions?

Your child moved the graph the wrong way left or right. In y = |x − 3| the graph moves right 3, because x = 3 makes the inside 0.

How can I help my child with graph absolute value, square root and cube root functions?

Ask: which x-value makes the inside 0?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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