Summative 3 Review

Question 1

How do you find the vertex of a function in Vertex Form?

Answer 1

(h,k)

Question 2

How do you find the AOS (Axis of Symmetry) in a Vertex Form function?

Answer 2

x=h

Question 3

Identify the form of the following equation: y=x^2+6x+12.

Answer 3

Standard Form.

Question 4

How do you find the vertex of a function in Standard Form?

Answer 4

-b/2(a) and then plug in the answer for x.

Question 5

Identify the form of the following equation: f(x)=(x-4)^2-2.

Answer 5

Vertex Form.

Question 6

Is domain “up and down” or “left and right” on a graph?

Answer 6

Left and right (typically ends up being (-infinity, infinity)).

Question 7

How would you identify the range of a graphed function?

Answer 7

“Up and down.”

Question 8

How do you identify the y-intercept in a Vertex Form function?

Answer 8

(0, ); plug in 0 for x and solve.

Question 9

Describe the transformation of the given function: y=-(x+5)^2-2.

Answer 9

Flips/reflection over the x axis (-), left 5 (+), down 2 (-).

Question 10

Describe the transformation of the given function: y=(x-2)^2+3.

Answer 10

Right 2 (-), up 3 (+).

Question 11

How do you find the minimum or maximum value of a graph with an equation? Ex. y=2x^2-12x+8.

Answer 11

Vertex: -b/2(a) and then plug the answer in for x.

Question 12

If a parabola opens up, then there will be a _____.

Answer 12

Minimum.

Question 13

If a parabola opens down, then there will be a _____.

Answer 13

Maximum.

Question 14

How do you write the equation of a parabola in Vertex Form?

Answer 14

y=a(x-h)^2+k

Question 15

Vertex: (4,1) Point: (2,-11)
What’s h? What’s k? What’s x? What’s y?

Answer 15

h=4, k=1, x=2, y=-11

Question 16

What’s the equation for the following parabola in Vertex Form: Vertex: (-4,1); Point: (-2,-3).

Answer 16

-3=a(-2- -4)^2+1
y=a(x-h)^2+k

Question 17

What number goes first when identifying the range/domain of a graphed parabola, the smaller number or the bigger number?

Answer 17

The smaller number.

Question 18

How do you identify the x-intercepts of a function in Intercept Form?

Answer 18

(p,0)(q,0)

Question 19

What is the equation for Intercept Form?

Answer 19

y=a(x-p)(x-q)

Question 20

What is the equation for Vertex Form?

Answer 20

y=a(x-h)^2+k

Question 21

The signs of p and q in a function that’s in Intercept Form should be written as _____.

Answer 21

Opposites. If there’s a “-“ in front of the number, write it as a positive, if there’s a “+” in front of the number write it as a negative.

Question 22

How do you find the AOS of a function that’s in Intercept Form?

Answer 22

p+q/2

Question 23

How many steps are there to solve a quadratic equation >2?

Answer 23

6

Question 24

How should you solve 7p^2-28=0?

Answer 24

1: Remove the 7
p^2-28p=0
2: (p-28)(p-0)
3: Divide each by the 7
(p-28/7) (p-0/7)=0
(p-4)(p-0)=0
4: 4-4=0 0-0=0
5: p=4 p=0

Question 25

How should you solve x^2-16=0?

Answer 25

1: Factor 16
1,16 2,8 4,4
2: (x-4)(x+4)=0 because -4+4=0
3: -4+4=0 4-4=0
4: x=-4 x=4