Using the information of the next graph, find the value of a and the equation of the graph in vertex form. Remember to use the vertex form equation to solve this exercise . $$y=a\left(x-h\right)^2+k$$

a= -1 $$y=-\left(x+1\right)^2+9$$

a= -2 $$y=-2\left(x+1\right)^2+9$$

a=2 $$y=2\left(x+1\right)^2+9$$

Transformations Taking the equation $$y=x^2$$ This new equation $$y=\left(x-5\right)^2$$ means that:

The graphs moves 5 units to the right so the vertex is in (5,0)

The graph moves 5 units to the left so the vertex is in (-5,0)

The graphs moves 5 units up, so the vertex is in (0,5)

The graphs moves 5 units down, so the vertex is in (0,-5)

Transformations Taking the equation $$y=x^2$$ This new equation $$y=x^2\ -4$$ means that:

The graphs moves 4 units down, so the vertex is in (0,-4)

The graph moves 4 units to the left so the vertex is in (-4,0)

The graphs moves 4 units up, so the vertex is in (0,4)

The graphs moves 4 units to the right so the vertex is in (4,0)

Transformations Taking the equation $$y=x^2$$ This new equation $$y=\left(x+6\right)^2$$ means that:

The graph moves 6 units to the left so the vertex is in (-6,0)

The graphs moves 6 units up, so the vertex is in (0,6)

The graphs moves 6 units to the right so the vertex is in (6,0)

The graphs moves 6 units down, so the vertex is in (0,-6)

Transformations Taking the equation $$y=x^2$$ This new equation $$y=x^2+8$$ means that:

The graphs moves 8 units up, so the vertex is in (0,8)

The graph moves 8 units to the left so the vertex is in (-8,0)

The graphs moves 6 units to the right so the vertex is in (8,0)

The graphs moves 8 units down, so the vertex is in (0,-8)

Review Quizziz

Quiz

•

Education

•

11th Grade

•

Practice Problem

•

Medium

Roberto Martínez

Used 2+ times

FREE Resource

21 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Parallel

Perpendicular

Neither of them

Is the same line

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Are the next lines paralell, perpendicular, neither of them or is the same line? 2x+4y=6 and y=2x+3

Paralell

Perpendicular

Neither of them

Is the same line

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Are the next lines paralell, perpendicular ,neither of them or is the same line? 3x+y=10 and y=-3x+5

Parallel

Perpendicular

Neither of them

Is the same line

4.

MATH RESPONSE QUESTION

2 mins • 1 pt

Mathematical Equivalence

ON

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find a parallel slope of the next line -6x+3y=12

m=4

m=-4

m=-2

m=2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find a perpendicular slope to the next line. 10x-4y=8

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the next system of linear equations
x-y=-1
2x-y=-5

Solution (3,4)

Solution (-3,-4)

Solution (-4,-3)

Solution (4,3)

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Review Quizziz

21 questions

Are the next lines paralell, perpendicular, neither of them or is the same line? 2x+4y=6 and y=2x+3

Are the next lines paralell, perpendicular ,neither of them or is the same line? 3x+y=10 and y=-3x+5

Find a parallel slope of the next line -6x+3y=12

Find a perpendicular slope to the next line. 10x-4y=8

Solve the next system of linear equations
x-y=-1
2x-y=-5

Solve the next system of linear equations
2x+y=7
x-2y=6

Solve the next system of linear equations
y=3x-1
6x-2y=6

Solve the next system of linear equations
2x-y=-3
-6x+3y=9

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Education

Review Quizziz

21 questions

Are the next lines paralell, perpendicular, neither of them or is the same line? 2x+4y=6 and y=2x+3

Are the next lines paralell, perpendicular ,neither of them or is the same line? 3x+y=10 and y=-3x+5

Find a parallel slope of the next line -6x+3y=12

Find a perpendicular slope to the next line. 10x-4y=8

Solve the next system of linear equations x-y=-12x-y=-5

Solve the next system of linear equations 2x+y=7x-2y=6

Solve the next system of linear equations y=3x-16x-2y=6

Solve the next system of linear equations2x-y=-3-6x+3y=9

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Education

Solve the next system of linear equations
x-y=-1
2x-y=-5

Solve the next system of linear equations
2x+y=7
x-2y=6

Solve the next system of linear equations
y=3x-1
6x-2y=6

Solve the next system of linear equations
2x-y=-3
-6x+3y=9