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5.5E - Warm Up - Wider/Narrower

Total questions: 8

Worksheet time: 7mins

Name
Class
Date
1.

In the vertex form f(x) = a(x - h)² + k , what does the 'a' value do?

a)

Shifts the function left or right

b)

Changing 'a' value has no affect on the parent function

c)

Vertical stretch or compression

d)

Shifts the function up or down

2.

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

a)

becoming wider or vertically compressed

b)

becoming narrower or vertically stretched

3.

Given f(x) = ax² , if a > 1 , the graph will transform by

a)

becoming wider or vertically compressed

b)

becoming narrower or vertically stretched

4.

Given f(x)=14x2f\left(x\right)=\frac{1}{4}x²  how did we transform from the parent function?

a)

Vertical compression (wider)

b)

Vertical stretch (narrower)

c)

Vertical compression (wider) and reflection over x-axis

d)

Vertical stretch (narrower) and reflection over x-axis

5.

Given f(x)=14x2f\left(x\right)=\frac{1}{4}x²  how did we transform from the parent function?

a)

Vertical compression (wider)

b)

Vertical stretch (narrower)

c)

Vertical compression (wider) and reflection over x-axis

d)

Vertical stretch (narrower) and reflection over x-axis

6.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
7.
Is the graph of the equation shown wider, narrower or the same width as the standard parabola y = x2 ?
a)
wider
b)
narrower
c)
same width
d)
impossible to tell
8.

Is the graph of the equation shown wider, narrower or the same width as the standard parabola y = x2 ?

f(x)=12x2+4x+6f\left(x\right)=\frac{1}{2}x^2+4x+6  

a)

wider

b)

narrower

c)

same width

d)

impossible to tell