1. which function has x-intercepts of -1 and 1 and contains the point (2,3)?
a) y=x^2+3
b) y=x^2+1
c) y=x^2-3
d) y=x^2-1

2. which function has x intercepts of 3 and 8 and contains the point (-1,-2)?
a) y= -(1/36)(x-3)(x-8)
b) y= -(1/14)(x-3)(x-8)
c) y= -(1/18)(x-3)(x-8)
d) y= -(1/7)(x-3)(x-8)

3. which function has vertex (-3,-1) and contains the point (-1,-9)?
a) y= -(x-3)^2-1
b) y= -(5/8)(x+3)^2-1
c) y= -(3/8)(x-3)^2-1
d) y= -(1/2)(x+3)^2-1

4. which function has vertex (2,0) and contains the point (3,4)?
a) y= 4x^2-4x+4
b) y= 4x^2-16x+16
c) y= x^2-4x+4
d) y= 2x^2-8x+8

5. what is the equation of quadratic function with vertex (0,0) and containing the points (1,-1), and (-1,-1)?
a) y= x^2
b) y= -x^2
c) y= x^2+1
d) y= x^2-1

Answers:

Question 1.

Choice D.

Step-by-step explanation:

Substitute x = 2 in the given equations, the equation that yields y =3 is the equation we are asked to determine. Moreover, since we also given the x-intercepts we can confirm our choice by substituting x =1 or x = -1 into the equation. The value of y will be 0.

Question 2.

Choice C.

Step-by-step explanation:

Substitute x = -1 in the given equations, the equation that yields y =-2 is the equation we are asked to determine. Moreover, since we also given the x-intercepts we can confirm our choice by substituting x =3 or x =8 into the equation. The value of y will be 0.

Question 3.

Choice D

Step-by-step explanation:

Substitute x = -3 in the given equations, the equation that yields y =-1 is the equation we are asked to determine. The second point can be used to check that the function chosen is actually the required one.

Question 4.

Choice B

Step-by-step explanation:

Substitute x = 2 in the given equations, the equation that yields y = 0 is the equation we are asked to determine. The second point (3, 4) can be used to check that the function chosen is actually the required one.

Question 5.

Choice B

Step-by-step explanation:

Substitute x = 0 in the given equations, the equation that yields y = 0 is the equation we are asked to determine. The other two point (1, -1) and (-1, -1)  can be used to check that the function chosen is actually the required one.

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6