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Chapter 1: Quadratic Functions and Equations in One Variable

Total questions: 13

Worksheet time: 3hrs 15mins

Name
Class
Date
1.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
2.

What is the axis of symmetry for the following equation?
 y=4x28x+9y=4x^2-8x+9  

a)

 x=8x=-8  

b)

 x=1x=1  

c)

 x=1x=-1  

d)

 x=2x=2  

3.

What is the y intercept for the equation:
 y=8x2+3x7y=-8x^2+3x-7  

a)

 (0, 8)\left(0,\ -8\right) 

b)

 (0, 3)(0,\ 3)  

c)

 (0, 7)(0,\ 7)  

d)

 (0,7)(0,-7)  

4.

Solve:
 4x2=4x14x^2=-4x-1  

a)

 x=12x=-\frac{1}{2}  

b)

 x=2x=-2  

c)

 x=0x=0  

5.

Does the following quadratic equation have a maximum or minimum value? How can you tell?
 y=x²+2x3y=x²+2x-3  

a)

Minimum value, because the a value is positive

b)

Maximum value, because the b value is positive

c)

Maximum value, because the a value is positive

d)

Minimum value, because the c value is negative

6.

Solve the following quadratic equation :
 x2+7x+12=0x^2+7x+12=0  

a)

 x=2, x=6x=-2,\ x=-6  

b)

 x=3, x=4x=-3,\ x=-4  

c)

 x=1, x=12x=-1,\ x=-12  

d)

 x=2, x=6x=2,\ x=6  

7.
The graph of a quadratic function is called
a)
a line
b)
a hyperbola
c)
a parabola
d)
a cubic
8.

Determine the values of
a, b, and c for
the quadratic equation: 
 4x28x=34x^2–8x=3  

a)

 a=4, b=8, c=3a=4,\ b=-8,\ c=3  

b)

 a=4, b=8, c=3a=4,\ b=-8,\ c=-3  

c)

 a=4, b=8, c=3a=4,\ b=8,\ c=3  

d)

 a=4, b=8, c=3a=4,\ b=8,\ c=-3  

9.

Which one is quadratic equation in one variable?

a)

2x2xy+1 =02x^2-xy+1\ =0

b)

x(x1)=5x\left(x-1\right)=5

c)

(2xy)2+3x4=0\left(2xy\right)^2+3x-4=0

10.

In graphing, what would be like if there are two real roots?

a)

No Graph

b)
c)
d)
11.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
12.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
13.

Which answer choice describes graph
 y=3x2+7x2y=-3x^2+7x-2  

a)

opens up with a maximum

b)

opens up with a minimum

c)

opens down with a maximum

d)

opens down with a minimum