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Write equation in standard and vertex form from a graph

Authored by Jesusa Gomez

Mathematics

9th Grade

TEKS covered

Used 9+ times

Write equation in standard and vertex form from a graph
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16 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are coordinates of the vertex of a parabola often represented by?

(x, y)

(x2, y2)

(h, k)

(r2, d2)

Tags

TEKS.MATH.A.7A

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Convert the equation from vertex form (shown) to standard form:

y = -3(x + 5)2 - 4

Formula: y = ax2 + bx + c

y = 9x2 - 15x + 21

y = -3x2 - 75x - 4

y = 9x2 + 90x + 221

y = -3x2 - 30x - 79

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

3.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Media Image

Your teacher gives you an equation in vertex form. If the "a" value is -3, select the statements below that are true.

"a" will be -3 in standard form

"a" represents a vertical compression

"a" will become 9 in standard form

the parabola will open downward

"a" describes the horizontal shift

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

y = 2(x - 7)2 + 4

Given the equation above, which of the following statements is FALSE?

The graph opens upward.

The vertex is at (7, 4).

The parabola crosses the x-axis twice.

The standard form is y= 2x2 - 28x + 102.

The axis of symmetry is x = 7.

Tags

CCSS.HSF-IF.C.7A

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Convert the equation into standard form:

y = -5(x + 2)2 - 10

y = -5x2 - 20x - 30

y = -5x2 - 4x - 10

y = 25x2 + 100x + 90

y = 25x2 - 10x - 30

6.

MULTIPLE SELECT QUESTION

15 mins • 1 pt

Which answer choice(s) below correctly show(s) an equation in vertex form and in its standard form? (There may be more than 1.)

y = -3(x + 2)2 + 3

y = -3x2 - 12x - 15

y = 2(x + 5)2 + 1

y = 2x2 + 20x + 51

y = 0.5(x - 3)2 - 6

y = 0.5x2 - 3x - 1.5

7.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Media Image

Which of the following statements are TRUE?

Select all that apply.

The "a" value is positive.

The y-intercept is positive.

It has two zeros.

The axis of symmetry is x = 1.

The vertex is at (0, 5).

Tags

TEKS.MATH.A.7A

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