Quadratic Functions and Equations

Question 1

What is the equation of the axis of symmetry?

Answer 1

x=h

Question 2

What is the vertex of the parabola?

Answer 2

(h, k)

Question 3

What is the parent quadratic function?

Answer 3

f(x)=x^2

Question 4

What is the axis of symmetry for the parent function?

Answer 4

x=0

Question 5

What is the vertex of the parent function?

Answer 5

(0,0)

Question 6

What are the graphs of y=ax^2 and y=-ax^2?

Answer 6

Reflections of each other across the x-axis.

Question 7

What stretches the graph vertically and narrows it horizontally?

Answer 7

Increasing |a|

Question 8

What compresses the graph vertically and widens it horizontally?

Answer 8

Decreasing |a|

Question 9

If a>0, the parabola…

Answer 9

Opens upward.

Question 10

If a<0, the parabola…

Answer 10

Opens downward.

Question 11

What is the first step in graphing a vertex form of a quadratic equation?

Answer 11

Identify the values for a, h, and k.

Question 12

What is the second step in graphing a vertex form of a quadratic equation?

Answer 12

Plot the vertex and axis of symmetry.

Question 13

What is the third step in graphing a vertex form of a quadratic equation?

Answer 13

Find at least two other points to graph. Include one point to the left and right of the vertex.

Question 14

What is the fourth step in graphing a vertex form of a quadratic equation?

Answer 14

Connect the points and draw the parabola.

Question 15

What can’t you see in standard form that you can see in vertex form?

Answer 15

The vertex.

Question 16

What is the formula for the axis of symmetry?

Answer 16

-b/2a

Question 17

After the x-value (axis of symmetry) is found, what do you do?

Answer 17

Plug it in to get the y-value.

Question 18

To solve some quadratic equations, what can be used?

Answer 18

The rules of square roots.

Question 19

Solving some quadratic equations: what comes after the step x^2 = s?

Answer 19

x√s

Question 20

Solving some quadratic equations: what comes after the step x√s?

Answer 20

x = ± √s

Question 21

Remember: what do quadratic equations have?

Answer 21

Two answers.

Question 22

The method
x^2 = s –> x√s –> x = ± √s
only works for equations with __ ___ ____.

Answer 22

No “b” term.

Question 23

If the “b” term is not in the correct place, _________ it as you would a ______ ________; _______ the x^2.

Answer 23

rearrange
liner equation
isolate