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2.04 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

M2.N.Q.A.1

Use units as a way to understand real-world problems.*

M2.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.

M2.A.CED.A.2

Create equations in two variables to represent relationships between quantities and use them to solve problems in a real-world context. Graph equations with two variables on coordinate axes with labels and scales, and use the graphs to make predictions.*

M2.A.CED.A.3

Rearrange formulas to isolate a quantity of interest using algebraic reasoning.*

M2.F.IF.C.7.A

Rewrite quadratic functions to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a real-world context.

M2.F.BF.B.2

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs.

M2.MP1

Make sense of problems and persevere in solving them.

M2.MP2

Reason abstractly and quantitatively.

M2.MP3

Construct viable arguments and critique the reasoning of others.

M2.MP4

Model with mathematics.

M2.MP6

Attend to precision.

M2.MP7

Look for and make use of structure.

M2.MP8

Look for and express regularity in repeated reasoning.

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