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Laabri

Algebra 1 Unit 7 Test: Quadratic Functions and Graphs

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Last updated 4 months ago
22 Nsɛmmisa

You may use the DESMOS graphing calculator to help you with this test.

https://www.desmos.com/testing/texas/graphing

DESMOS Graphing calculator: https://www.desmos.com/calculator

8
1
1
2
1
3
4
3
1
1
1
1
6
4
F.IF.7.a
3
F.BF.3
F.IF.4
F.IF.7.a
3
A.APR.1
A.SSE.1.a
2
6
1
2
7
4

Need Translation?

Utilize this link to access Google Translate: https://translate.google.com/?sl=auto&tl=es&op=translate

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Vocabulary: Match each term to its correct definition or description.

Draggable itemarrow_right_altCorresponding Item

Maximum

arrow_right_alt

Axis of Symmetry

arrow_right_alt

(0,c)

arrow_right_alt

The highest y-value of the graph.

Domain

arrow_right_alt

The lowest y-value of the graph

Minimum

arrow_right_alt

The vertical line that divides the graph into two equal left and right halves.

Zero

arrow_right_alt

The apex of the graph.

Range

arrow_right_alt

X-intercept

Vertex

arrow_right_alt

Y-intercept

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2.

Graph:

Clearly indicate the y-intercept and an x-intercept.

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
  • Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.
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3.

What is the y-intercept of this graph?

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4.

Find the vertex of the given graph.

Be sure to give your answer as an ordered pair, such as (x,y), for example.

Vertex: (, )

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5.

Which of the following is the equation of the axis of symmetry for the given graph?

The equation of the Axis of Symmetry AOS is:

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6.

What is the RANGE of the function of the given graph?

Choose 3 different ways to express the Range.

Inequality:

Interval:

Words:

Mmuae Afoforo a Wobɛpaw:
All real numbers.

All y values less than or equal to 2.

All y values greater than or equal to 2.

All x values greater than or equal to -2.

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7.

Place the point next to its description.

Axis of symmetry: point

Vertex: point

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8.

Given

Be sure to give your answer as an ordered pair, such as (x,y), for example.

Hint: Use DESMOS to help: https://www.desmos.com/testing/texas/graphing

Use the given equation to find the following value.

a =

h =

k =

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9.

Which of the following equations shows a right movement of 3 and a vertical stretch by 2?

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10.

Use DESMOS graphing calculator to answer to following question.

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11.

Use DESMOS graphing calculator to answer to following question.

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12.

Which of the following functions in standard form is correctly equivalent to the given function?

You can use DESMOS or the TI-84 graphing calculator to help.

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13.

Vocabulary Matching!

Bring the correct word(s) to the corresponding locations.

Mmuae Afoforo a Wobɛpaw:
vertex
y-intercept
axis of symmetry
minimum
maximum
x-intercept
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14.

Use Your Vocabulary: Categorize each function based on whether or not its graph is a parabola.

  • Graph is a parabola

  • Graph is NOT a parabola

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15.

Translations: Match each parabola with its function. Assume that each grid line represents 1 unit.

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16.

Identify the factored form of each expression.

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17.

If the equation has been factored as follows,

then the solutions are:

x =

x =

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18.

Factor and solve:

(x + ) = 0

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19.

Find the vertex of the equation

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20.

Graph the parabola

** Must plot the vertex and the y-intercept. **

  • Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
  • Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
  • Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.
Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Use this equation to find the following characteristics:

You may use DESMOS graphing calculator to help.

The vertex is at:

The axis of symmetry is at:

This graph has a (maximum or minimum?), and it's at:

The y-intercept is at:

The smaller x-intercept is at

The bigger x-intercept is at

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22.

What is the order of the transformations for the following equation?

  1. Left 6 units

  2. Reflected over x-axis

  3. Down 8 units

  4. Stretch by 3 times