Compared to the parent function, $$y=x^2$$ , Is this parabola vertically stretched, compressed, or neither? $$f\left(x\right)=\frac{1}{2}x^2+5x-2$$

Neither Stretched or Compressed

Compared to the parent function, $$y=x^2$$ , is this parabola vertically stretched, compressed, or neither? $$f\left(x\right)=3x^2-10x-7$$

Neither Stretched or Compressed

You cannot tell from this form of the equation

Where the parabola touches or intersects the x-axis

The highest or lowest point on the graph

Where the parabola touches or intersects the y-axis

A line that divides the graph into two equal parts. i.e. cuts the graph in half

Where the parabola touches or intersects the y-axis

Where the parabola touches or intersects the x-axis, also called the x-intercept

The lowest y-value on the graph

The highest y-value on the graph

The highest or lowest point on the graph

The lowest y-value on the graph

A line that divides the graph into two equal parts. i.e. cuts the graph in half

The lowest y-value on the graph

The highest y-value on the graph

Where the parabola touches or intersects the y-axis

Where the parabola touches or intersects the x-axis, also called the x-intercept

The highest or lowest point on the graph

Where the parabola touches or intersects the x-axis

Where parabola line touches or intersects the x- axis, also called the x-intercept

A line that divides the graph into two equal parts. i.e. cuts the graph in half

Define Axis Of Symmetry

A line that divides the graph into two equal parts. i.e. cuts the graph in half

Where the parabola touches or intersects the x-axis, also called the x-intercept

The highest y-value on the graph

The highest or lowest point on the graph

Compared to the parent function $$y=x^2$$ Is this parabola stretched, compressed, or neither? $$f\left(x\right)\ =\ \frac{1}{4}\left(x+7\right)^2-3$$

Neither Stretched or Compressed

Compared to the parent function $$y=x^2$$ Is this parabola stretched, compressed, or neither? $$f\left(x\right)\ =\ -5\left(x+7\right)^2-3$$

Neither Stretched or Compressed

Compared to the parent function $$y=x^2$$ Is this parabola stretched, compressed, or neither? $$f\left(x\right)\ =\ -\left(x+2\right)^2+9$$

Neither Stretched or Compressed

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=2x^2+4x-3$$

The parabola is stretched by a factor of 2.

The x-intercepts are (-3,2) and (4,-3)

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=-\frac{1}{2}x^2-8x+5$$

The parabola is compressed by a factor of 1/2.

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=-x^2+4x-9$$

The parabola is reflected over the x-axis (opens down)

The parabola is not stretched or compressed relative to the parent function $$y=x^2$$

The axis of symmetry is $$x=-9$$

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=\left(x+4\right)\left(x-2\right)$$

The x-intercept sare (0,-4) and (0,2)

The parabola is not stretched or compressed relative to the parent function $$y=x^2$$

The parabola is reflected over the x-axis (opens down)

The x-intercepts are (0,4) and (0,-2)

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=2\left(x+6\right)\left(x-3\right)$$

The x-intercepts are (0,-6) and (0,3)

The axis of symmetry is $$x=6$$

The parabola is compressed by a factor of 2.

The parabola is reflected over the x-axis (opens down)

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=\left(3x-2\right)\left(x-1\right)$$

The x-intercepts are (0, $$-\frac{2}{3}$$ ) and (0,1)

The parabola is NOT reflected over the x-axis (opens up)

The axis of symmetry is $$x=-\frac{3}{2}$$

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=2\left(x-1\right)^2+4$$

The parabola is NOT reflected over the x-axis (opens up)

The axis of symmetry is $$x=1$$

The axis of symmetry is $$x=-1$$

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=-8\left(x+2\right)^2-6$$

The parabola is reflected over the x-axis (opens down)

The axis of symmetry is $$x=-2$$

The axis of symmetry is $$x=6$$

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=-\frac{1}{4}\left(x-2\right)^2+5$$

The axis of symmetry is $$x=2$$

The parabola is reflected over the x-axis (opens down)

The axis of symmetry is $$x=-2$$

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=6\left(x+3\right)^2-5$$

The parabola is stretched (narrower) by a factor of 6.

The axis of symmetry is $$x=-5$$

The parabola is reflected over the x-axis (opens down)

The axis of symmetry is $$x=3$$

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=-\left(x+0\right)^2-0$$

The axis of symmetry is $$x=0$$

The parabola is reflected over the x-axis (opens down)

This quadratic equation is written in vertex form.

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=5\left(x+4\right)^2-9$$

The axis of symmetry is $$x=-4$$

The parabola is NOT reflected over the x-axis (opens up)

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=7\left(x+3\right)^2$$

The axis of symmetry is $$x=-3$$

The parabola is stretched by a factor of 7.

Which of the following statements is true? (Check all that Apply) $$f\left(x\right)=\frac{1}{2}\left(x-3\right)^2+9$$

The axis of symmetry is $$x=3$$

The parabola is compressed by a factor of 9.

The parabola is reflected over the x-axis (opens down)

Identifying Key Features of Quadratics from Equations

Authored by Cassandra WillowSpringHS

Mathematics

10th Grade

CCSS covered

Used 10+ times

Identifying Key Features of Quadratics from Equations

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

(0,2)

(0,-9)

(0,-7)

(0,7)

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

(0,2)

(0,-9)

(0,-7)

(0,-2)

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

(4,0)

(-4,0)

(0,-4)

(0,4)

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

(0,1)

(1,0)

(0,-3)

(0,3)

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

(0,8)

(8,0)

(0,-8)

(-8,0)

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Stretched

Compressed

Neither

Tags

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Stretched

Compressed

Neither

Tags

CCSS.HSF.BF.B.3

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