A student graphed $$f\left(x\right)=x$$ and $$g\left(x\right)=f\left(x\right)+3$$ on the same coordinate grid. Which statement describes how the graphs of $$f$$ and $$g$$ are related?

The graph of $$f$$ is shifted 3 units up to create the graph of $$g$$ .

The graph of $$f$$ is steeper than the graph of $$g$$ .

The graph of $$f$$ is shifted 3 units down to create the graph of $$g$$ .

The graph of $$f$$ is less steep than the graph of $$g$$ .

The graph of $$f\left(x\right)=x^2$$ was transformed to create the graph of $$g\left(x\right)=f\left(x\right)-9$$ . Which statement about the graphs is true?

The vertex of the graph of $$g$$ is $$9$$ units below the vertex of the graph of $$f$$ .

The graph of $$g$$ is a reflection of the graph of $$f$$ across the x-axis.

The vertex of the graph of $$g$$ is $$9$$ units to the right of the vertex of the graph of $$f$$ .

The graph of $$g$$ is a reflection of the graph of $$f$$ across the y-axis.

The graph of $$g\left(x\right)=x^2$$ was transformed to create the graph of $$h\left(x\right)=-\left(\frac{x}{4}\right)^2$$ . Which of these describes the transformation from the graph of $$g$$ to the graph of $$h$$ ?

A reflection over the y-axis and a horizontal stretch.

A reflection over the x-axis and a horizontal stretch.

A reflection over the x-axis and a vertical stretch.

A reflection over the y-axis and a vertical stretch.

The graph of $$f\left(x\right)=x^2$$ was transformed to create the graph of $$g\left(x\right)=\left(x-7.5\right)^2$$ . Which of these describes this transformation?

A horizontal shift to the right $$7.5$$ units.

A horizontal shift to the left $$7.5$$ units.

A vertical shift down $$56.25$$ units.

A vertical shift up $$56.25$$ units.

Quadratic functions $$q$$ and $$w$$ are graphed on the same coordinate grid. The vertex of the graph of $$q$$ is $$18$$ units below the vertex of the graph of $$w$$ . Which pair of graphs could have been used to create the graphs of $$q$$ and $$w$$ ?

$$q\left(x\right)=x^2-18$$ and $$w\left(x\right)=x^2$$

$$q\left(x\right)=18x^2$$ and $$w\left(x\right)=x^2$$

$$q\left(x\right)=x^2+18$$ and $$w\left(x\right)=x^2$$

$$q\left(x\right)=-18x^2$$ and $$w\left(x\right)=x^2$$

Transformations STAAR Practice

Authored by Melissa Young

Mathematics

9th Grade

CCSS covered

Used 3+ times

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FILL IN THE BLANKS QUESTION

1 min • 1 pt

(a)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated down.

The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.

The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated down.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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