Midterms

Question 1

Changes from parent function when the factor is between 0-1

Answer 1

Graph shrinks vertically (wider)

Increases slower

Question 2

Changes from parent function when there is a negative of the parent function

Answer 2

Reflects the graphs over the x-axis

Question 3

Changes from parent function when the factor is greater than 1

Answer 3

Graph stretches vertically (more narrow)

Increases faster

Question 4

Changes from parent function when a number is added/subtracted INSIDE the grouping

Answer 4

Moves left/right, affects x values

Moves I. The opposite direction (- would move right)

Question 5

Changes from parent function when a number is added/subtracted to output OUTSIDE grouping

Answer 5

Moves up/down, affects y values

Moves in right direction

Question 6

Horizontal translations
Y=f(x-h)
Y=f(x+h)

Answer 6

Y=f(x-h) right

Y=f(x+h) left

Question 7

Vertical translations
Y=f(x)-k
Y=f(x)+k

Answer 7

Y=f(x)-k down

Y=f(x)+k up

Question 8

Reflection in the x axis
Parent function: y=f(x)
Reflection: ?

Answer 8

Reflection: y=-f(x)

Affects entire function

Question 9

Reflection in the y axis
Parent function: y=f(x)
Reflection: ?

Answer 9

y=f(-x)

Effects only the x

Question 10

Horizontal shrinks and stretches

Answer 10

a>1: horizontal shrink-steeper

0<a></a>

Question 11

Vertical shrinks and stretches

Answer 11

a>1: stretching vertically

0<a></a>

Question 12

Maximum and minimum values

a>0

Answer 12

Minimum of f(-b/2a)
Domain: x=all real numbers
Range: y greater than or equal to f(-b/2a)
Decreasing left of -b/2a
Increasing right of -b/2a

Question 13

Maximum or minimum value when

a

Answer 13

Maximum of f(-b/2a)
Domain: x=all real numbers
Range: y less than or equal to f(-b/2a)
Decreasing right of -b/2a
Increasing left of -b/2a