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7.04 Quadratic functions in vertex form

Adaptive
Worksheet

Interactive practice questions

The graph of $y=x^2$y=x2 has been transformed into the following graph.

Loading Graph...

a

What is the vertical translation?

$2$2 units down

A

$2$2 units up

B

$0$0 units up or down

C
b

What is the horizontal translation?

$0$0 units left or right

A

$2$2 units left

B

$2$2 units right

C
c

Is there a reflection about the $x$x-axis?

No

A

Yes

B
d

Is this quadratic stretched?

No

A

Yes

B
Easy
2min

The quadratic $y=x^2$y=x2 has been transformed into the graph to the right.

Easy
2min

Consider the function $y=5\left(x-\frac{1}{2}\right)^2-\frac{1}{4}$y=5(x12)214.

Easy
1min

The graph of $y=\left(x-1\right)^2$y=(x1)2 is translated $4$4 units up.

Easy
2min
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Outcomes

MA.912.AR.3.7

Given a table, equation or written description of a quadratic function, graph that function, and determine and interpret its key features.

MA.912.F.2.1

Identify the effect on the graph or table of a given function after replacing f(x) by f(x)+k,kf(x), f(kx) and f(x+k) for specific values of k.

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