Algebra & Functions Flashcards

You may prefer our related Brainscape-certified flashcards:
1
Q

Solve for the Expression

(x+y)^2 =

A

x^2 + 2xy + y^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Solve for the Expression

(x-y)^2 =

A

x^2 - 2xy + y2^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Solve for the Expression

x+y)(x-y

A

x^2 - y^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Exponents

y^4 + y^3 =

A

y^4 + y^3

Can’t do anything with it.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Exponents

(8^m)^2 =

A

8^2m

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Exponents

y^3/5 =

A

root y^3 with 5 outside

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Exponents

y^-3/5

A

1 / root y^3 with 5 on the outside

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Functions

y = f(x+1)

A

Shifts 1 to the left

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Functions

y= f(x-1)

A

Shifts 1 to the right

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Functions

y= f(x) + 1

A

Shifts 1 up

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Functions

y= f(x) - 1

A

Shifts 1 down

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Functions

-f(x)

A

Negates y-values

Flips about the x-axis

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Functions

f(-x)

A

Negates x-values

Flips about the y axis

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Functions

What happens to the x-intercept when you reflect about the x-axis?

A

Nothing. Stays the same.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Functions

What happens to the y-intercept when you reflect about the y-axis?

A

Nothing. Stays the same.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Functions

What happens to the y-intercept and slope when you reflect a line across the x-axis?

A

They’re negated.

17
Q

Functions

What happens to the slope when you reflect a line across either axis?

A

It’s negated.

18
Q

Functions

y =2f(x)

A

Farther from x-axis (skinnier)

19
Q

Functions

y= 1/2f(x)

A

Closer to x-axis (fatter)

20
Q

Lines

The x-intercept of a line is the x-value of the equation when y = ___

A

0

21
Q

Lines

The y-intercept of a line is the y-value of the equation when x = ____

A

0