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Graphing Quadratics Standard Form 10 ? Reteach

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

Find the axis of symmetry for

f(x) = x2- 4x + 5.

a)

x = -2

b)

x = 2

c)

y = 2

d)

y = -2

e)

y= 2x +1

2.

 y=x2+6x+4y=x^2+6x+4  What are the coordinates of the vertex?



(a)  

3.

The parabola y = x2 - 4x + 5 will have a vertex, write as a coordinate (x, y)

(a)  

4.

What are the coordinates of the vertex? Is it a maximum or a minimum?

a)

(2, 3); minimum

b)

(2, 5); maximum

c)

(2, 3); maximum

d)

(2, -3); minimum

e)

(2, -3); maximum

5.

What is the y - intercept?

(a)  

6.

 Find the x-intercepts for the quadratic function: f(x)=x2+5x+6f\left(x\right)=x^2+5x+6 

a)

(3,0)

b)

(2,0)

c)

(6,0)

d)

(-2,0)

e)

(-3,0)

7.

What are the real roots (solutions) of the quadratic y = 2x2+4x+5

a)

(−1, 3)

b)

(0,5)

c)

(5,0)

d)

(3,-1)

e)

No real roots

8.

Identify the equation for the graph.

a)

y=x2 −8x+12y=x^{2\ }-8x+12

b)

y=x2 +6x+2y=x^{2\ }+6x+2

c)

y=(x−2)(x−6)y=\left(x-2\right)\left(x-6\right)

d)

y=(x+2) (x+6)y=\left(x+2\right)^{\ }\left(x+6\right)

e)

y=x2+8x+12y=x^2+8x+12

9.

What is the equation for the graph above?  Choose all that apply:

a)

 y=x2+6x+8y=x^2+6x+8  

b)

 y=(x−3)2−1y=\left(x-3\right)^2-1  

c)

 y=(x−2)(x−4)y=\left(x-2\right)\left(x-4\right)  

d)

 y=x2−6x+8y=x^2-6x+8  

e)

 y=(x+2)(x+4)y=\left(x+2\right)\left(x+4\right)  

10.

What is the domain of the function?

a)

All Real Numbers

b)

-3 ≤ x ≤ 1

c)

y ≥ 4

d)

y ≤ 4

e)

-3≤ y ≥ 1