unit 1 test

Question 1

Formula for slope

Answer 1

m=y2-y1 over x2-x1

Question 2

slope intercept from

Answer 2

y=mx+b

Question 3

point slope form

Answer 3

y-y=m(x-x)

Question 4

slopes of parallel lines must have ___ slope

Answer 4

equal

Question 5

Family of functions/ give examples

Answer 5

a set of functions whose graphs have common characteristics (ie: linear, quadratic, Absolute Value)

Question 6

Parent Functions/ give examples

Answer 6

simplest function of a specific family (ie: y=x, y=x^2, y= square root of x

Question 7

transformation

Answer 7

A change in position, shape, and size of a figure

Question 8

Vertical translation

Answer 8

vertical shift created by + or - in the function, impacting the range (y) y=mx+((b))

Question 9

Vertical stretch

Answer 9

created by a multiplier impacting the steepness of the range (slope) y=((m))x+b

Question 10

Reflection

Answer 10

caused by multiplying by -1, creating a reflection over the x-axis (slope) y=((m))x+b

Question 11

What are the 3 types of solutions to a system of equations?

Answer 11

• one solution (x,y)
• no solution (parallel lines)
• infinite solutions (same lines)

Question 12

Ways to solve a system of equations

Answer 12

• graphing method
• substitution method
• elimination method

Question 13

Steps for solving by substitution

Answer 13

1. Solve for a variable in one of the given equations
2. Substitute for that variable in the equation that was not used yet
3. Solve the equation
4. Plug the answer into an original equation and solve for another variable
5. Check your answer