$$f\left(x\right)=x^2$$ and $$g\left(x\right)=f\left(x\right)+5$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is shifted 5 units up to create the graph of $$g$$ .

The graph of $$f$$ is shifted 5 units down to create the graph of $$g$$ .

The graph of $$f$$ is vertically stretched to create the graph of $$g$$ .

The graph of $$f$$ is vertically compressed to create the graph of $$g$$ .

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=f\left(x\right)-5$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is shifted 5 units down to create the graph of $$g$$ .

The graph of $$f$$ is vertically stretched to create the graph of $$g$$ .

The graph of $$f$$ is shifted 5 units up to create the graph of $$g$$ .

The graph of $$f$$ is vertically compressed to create the graph of $$g$$ .

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=f\left(x-5\right)$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is shifted 5 units right to create the graph of $$g$$ .

The graph of $$f$$ is horizontally stretched to create the graph of $$g$$ .

The graph of $$f$$ is shifted 5 units left to create the graph of $$g$$ .

The graph of $$f$$ is horizontally compressed to create the graph of $$g$$ .

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=f\left(x+5\right)$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is shifted 5 units left to create the graph of $$g$$ .

The graph of $$f$$ is shifted 5 units right to create the graph of $$g$$ .

The graph of $$f$$ is horizontally stretched to create the graph of $$g$$ .

The graph of $$f$$ is horizontally compressed to create the graph of $$g$$ .

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=-f\left(x\right)$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is reflected across the x-axis to create the graph of $$g$$ .

The graph of $$f$$ is reflected across the y-axis to create the graph of $$g$$ .

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

The graph of $$f$$ is vertically compressed by a factor of -1 to create the graph of $$g$$ .

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=f\left(-x\right)$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is reflected across the y-axis to create the graph of $$g$$ .

The graph of $$f$$ is reflected across the x-axis to create the graph of $$g$$ .

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

The graph of $$f$$ is vertically compressed by a factor of -1 to create the graph of $$g$$ .

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=5f\left(x\right)$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is vertically stretched by a factor of 5 to create the graph of $$g$$ .

The graph of $$f$$ is shifted 5 units up to create the graph of $$g$$ .

The graph of $$f$$ is vertically compressed by a factor of 5 to create the graph of $$g$$ .

The graph of $$f$$ is shifted 5 units right to create the graph of $$g$$ .

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=\frac{1}{5}f\left(x\right)$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is vertically compressed by a factor of $$\frac{1}{5}$$ to create the graph of $$g$$ .

The graph of $$f$$ is shifted $$\frac{1}{5}$$ units up to create the graph of $$g$$ .

The graph of $$f$$ is shifted $$\frac{1}{5}$$ units right to create the graph of $$g$$ .

The graph of $$f$$ is vertically stretched by a factor of $$\frac{1}{5}$$ to create the graph of $$g$$ .

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=f\left(x-3\right)+5$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is shifted 5 units up and 3 units right to create the graph of $$g$$ .

The graph of $$f$$ is shifted 5 units up and 3 units left to create the graph of $$g$$ .

The graph of $$f$$ is shifted 5 units down and 3 units left to create the graph of $$g$$ .

The graph of $$f$$ is shifted 5 units down and 3 units right to create the graph of $$g$$ .

$$f\left(x\right)=x^2$$ and $$g\left(x\right)=-\frac{1}{5}f\left(x+2\right)-3$$ are graphed on the same coordinate grid. Which statement describes how the graphs of f and g are related?

The graph of $$f$$ is reflected over the x-axis, shifted 3 units down, and 2 units left to create the graph of $$g$$ .

The graph of $$f$$ is reflected over the y-axis, shifted 3 units up, and 2 units left to create the graph of $$g$$ .

The graph of $$f$$ is reflected over the y-axis, shifted 3 units down, and 2 units left to create the graph of $$g$$ .

The graph of $$f$$ is reflected over the x-axis, shifted 3 units up, and 2 units right to create the graph of $$g$$ .

Quadratic Transformations

Authored by Diana Guerrero

Mathematics

9th - 12th Grade

Used 2+ times

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Answer explanation

If needed, use desmos to graph both equations given to you to visualize what is happening.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Answer explanation

If needed, use desmos to graph both equations given to you to visualize what is happening.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Answer explanation

If needed, use desmos to graph both equations given to you to visualize what is happening.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Answer explanation

If needed, use desmos to graph both equations given to you to visualize what is happening.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Answer explanation

If needed, use desmos to graph both equations given to you to visualize what is happening.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Answer explanation

If needed, use desmos to graph both equations given to you to visualize what is happening.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Answer explanation

If needed, use desmos to graph both equations given to you to visualize what is happening.

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