Parabola shapes

Match

What is the "a" value of each quadratic function?

• $$f\left(x\right)=x^2$$

• $$f\left(x\right)=3x^2$$

• $$f\left(x\right)=0.3x^2$$

• $$f\left(x\right)=0.2x^2$$

• $$f\left(x\right)=2x^2$$

"a" = 1

"a" = 3

"a" = 0.3

"a" = 0.2

"a" = 2

• "a" = 1

• "a" = 3

• "a" = 0.3

• "a" = 0.2

• "a" = 2

Dropdown

The function f(x) = 5x², will have a

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width parabola.

Dropdown

The function f(x) = x², will have a

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width parabola.

Dropdown

The function f(x) = ⅙x², will have a

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width parabola.

Dropdown

A negative "a" value causes the parabola to open ​

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.

Match

What is the "a" value of each quadratic function?

• $$f\left(x\right)=x^2$$

• $$f\left(x\right)=-x^2$$

• $$f\left(x\right)=-2x^2$$

• $$f\left(x\right)=-0.2x^2$$

• $$f\left(x\right)=2x^2$$

"a" = 1

"a" = -1

"a" = -2

"a" = -0.2

"a" = 2

• "a" = 1

• "a" = -1

• "a" = -2

• "a" = -0.2

• "a" = 2

Multiple Choice

$$f\left(x\right)=-3x^2$$

• Opens Up

• Opens Down

Multiple Choice

$$f\left(x\right)=-x^2$$

• Opens Up

• Opens Down

Multiple Choice

$$f\left(x\right)=5x^2$$

• Opens Up

• Opens Down

Multiple Choice

What would the shape be for $$f\left(x\right)=-3x^2$$ ?

• narrow

• wide

• normal

Multiple Choice

What would the shape be for $$f\left(x\right)=0.3x^2$$ ?

• narrow

• wide

• normal

Multiple Choice

What would the shape be for $$f\left(x\right)=3x^2$$ ?

• narrow

• wide

• normal

Multiple Choice

What would the shape be for $$f\left(x\right)=-x^2$$ ?

• narrow

• wide

• normal

Multiple Choice

What would the shape be for $$f\left(x\right)=x^2$$ ?

• narrow

• wide

• normal

Multiple Choice

What would the shape be for $$f\left(x\right)=\frac{1}{5}x^2$$ ?

• narrow

• wide

• normal

Categorize

Options (4)

$$f\left(x\right)=2x^2$$  

$$f\left(x\right)=-2x^2$$  

$$f\left(x\right)=\frac{1}{2}x^2$$  

$$f\left(x\right)=-\frac{1}{2}x^2$$  

Organize these options into the right categories

Open up and narrow:

Open down and narrow:

Open up and wide:

Open down and wide:

Match

Match the following characteristics for each parabola:

• $$y=-x^2$$

• $$y=x^2$$

• $$y=-0.3x^2$$

• $$y=-7x^2$$

• $$y=4x^2$$

Opens Down

Normal Shape

Opens Up

Normal Shape

Opens Down

Wide Shape

Opens Down

Narrow Shape

Opens Up

Narrow Shape

• Opens Down

  Normal Shape

• Opens Up

  Normal Shape

• Opens Down

  Wide Shape

• Opens Down

  Narrow Shape

• Opens Up

  Narrow Shape