Flashcards in Quadratic Functions and Equations Deck (23)

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1

## What is the equation of the axis of symmetry?

### x=h

2

## What is the vertex of the parabola?

### (h, k)

3

## What is the parent quadratic function?

### f(x)=x^2

4

## What is the axis of symmetry for the parent function?

### x=0

5

## What is the vertex of the parent function?

### (0,0)

6

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

### Reflections of each other across the x-axis.

7

## What stretches the graph vertically and narrows it horizontally?

### Increasing |a|

8

## What compresses the graph vertically and widens it horizontally?

### Decreasing |a|

9

## If a>0, the parabola...

### Opens upward.

10

## If a<0, the parabola...

### Opens downward.

11

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

### Identify the values for a, h, and k.

12

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

### Plot the vertex and axis of symmetry.

13

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

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

14

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

### Connect the points and draw the parabola.

15

## What can't you see in standard form that you can see in vertex form?

### The vertex.

16

## What is the formula for the axis of symmetry?

### -b/2a

17

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

### Plug it in to get the y-value.

18

## To solve some quadratic equations, what can be used?

### The rules of square roots.

19

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

### x√s

20

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

### x = ± √s

21

## Remember: what do quadratic equations have?

### Two answers.

22

##
The method

x^2 = s --> x√s --> x = ± √s

only works for equations with __ ___ ____.

### No "b" term.

23