Algebra 1- Quadratics in Vertex Form

Last updated almost 6 years ago

20 questions

Algebra 1- Quadratics in Vertex Form

Last updated almost 6 years ago

20 questions

Question 1

Which of the following equations matches vertex form of a quadratic?

ax + by = c

y = a(x - h)2 + k

y = ax2 + bx + c

y = mx + b

Question 2

If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?

(5, -4)

(-15, -4)

(-5,-4)

(15,-4)

Question 3

Graph f(x) = - (x - 4)2 +1

Question 4

Graph f(x)= 2(x + 5)2 + 2

Question 5

Label each part of the Parabola

Question 6

What is the vertex of

Question 7

Question 8

Question 9

Graph : f (x) = −3(x − 2) 2 − 4

Question 10

10.

Graph: f(x) = (x - 3)2 +2

Question 11

11.

Using the fuction, f(x)= -2(x + 2)2 + 4, what is the y - intercept?

(0,-4)

(-4,0)

(-12,0)

(0,-12)

Question 12

12.

Looking at the function y = –3(x–1)2 +3 ; what is the Axis of Symmetry (A.O.S)?

y = 1

x= -1

x = 1

y= -1

Question 13

13.

Would this funtion, y = 8(x+1)2 –2, open up or down graph and have a max or min?

Opens Up , U with a maximum

Opens up, U with a minimum

Opens down, ⌒ with a maximum

Opens down, with a minimum

Question 14

14.

Would this funtion, y = –2(x+1)2 – 5 , open up or down graph and have a max or min?

Opens Up , U with a maximum

Opens up, U with a minimum

Opens down, ⌒ with a maximum

Opens down, with a minimum

Question 15

15.

Using the fuction, y= 1⁄2(x+6)2 –2, what is the y - intercept?

(0,7)

(0,16)

(16,0)

(7,0)

Question 16

16.

Looking at the function y = 4(x–2)2 ; what is the Axis of Symmetry (A.O.S)?

x=0

x= 4

x= -2

x =2

Question 17

17.

How many possible solutions can a quadratic function have?

one solution

two solutions

no solutions

all the above

Question 18

18.

What are the solutions for this function?

No solution

One solution at y=5 

Infinitely many solution

Question 19

19.

What are the solutions of this graph?

Infintely many solutions

one solution at y = -9

two solutions at x =3 and x = -3

No solution 

Question 20

20.

What are the solutions of this graph?

One solution at x=0

No solution

Infinitely many solutions

Two solutions at x = 1 and x = -1

Question 1

Which of the following equations matches vertex form of a quadratic?

ax + by = c

y = a(x - h)2 + k

y = ax2 + bx + c

y = mx + b

Question 2

If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?

(5, -4)

(-15, -4)

(-5,-4)

(15,-4)

Question 3

Graph f(x) = - (x - 4)2 +1

Question 4

Graph f(x)= 2(x + 5)2 + 2

Question 5

Label each part of the Parabola

Question 6

What is the vertex of

Question 7

Question 8

Question 9

Graph : f (x) = −3(x − 2) 2 − 4

Question 10

10.

Graph: f(x) = (x - 3)2 +2

Question 11

11.

Using the fuction, f(x)= -2(x + 2)2 + 4, what is the y - intercept?

(0,-4)

(-4,0)

(-12,0)

(0,-12)

Question 12

12.

Looking at the function y = –3(x–1)2 +3 ; what is the Axis of Symmetry (A.O.S)?

y = 1

x= -1

x = 1

y= -1

Question 13

13.

Would this funtion, y = 8(x+1)2 –2, open up or down graph and have a max or min?

Opens Up , U with a maximum

Opens up, U with a minimum

Opens down, ⌒ with a maximum

Opens down, with a minimum

Question 14

14.

Would this funtion, y = –2(x+1)2 – 5 , open up or down graph and have a max or min?

Opens Up , U with a maximum

Opens up, U with a minimum

Opens down, ⌒ with a maximum

Opens down, with a minimum

Question 15

15.

Using the fuction, y= 1⁄2(x+6)2 –2, what is the y - intercept?

(0,7)

(0,16)

(16,0)

(7,0)

Question 16

16.

Looking at the function y = 4(x–2)2 ; what is the Axis of Symmetry (A.O.S)?

x=0

x= 4

x= -2

x =2

Question 17

17.

How many possible solutions can a quadratic function have?

one solution

two solutions

no solutions

all the above

Question 18

18.

What are the solutions for this function?

No solution

One solution at y=5 

Infinitely many solution

Question 19

19.

What are the solutions of this graph?

Infintely many solutions

one solution at y = -9

two solutions at x =3 and x = -3

No solution 

Question 20

20.

What are the solutions of this graph?

One solution at x=0

No solution

Infinitely many solutions

Two solutions at x = 1 and x = -1