Radicals

Question 1

What’s the basic skeleton of a transformed radical function?

Answer 1

y = a√b(x-h) +k

Question 2

graph of √ f(x) when f(x)<0

Answer 2

y= √ f(x) is undefined, cannot take square root of negative numbers

Question 3

What’s the mapping notation?

Answer 3

(x,y) –> (x/b-h, k√y+k)

Question 4

graph of √ f(x) when f(x)=0

Answer 4

The graphs of y= √ f(x) and f(x) intersect at y=0

Question 5

Invariant points of radicals?

Answer 5

When Y = 0 & 1

Question 6

the graph of √ f(x) when 0

Answer 6

The graph of y= √ f(x) is above graph of f(x)

Question 7

The graph of √f(x) when f(x) is one

Answer 7

invariant point y= √f(x) and y = f(x) intersect when Y = 1

Question 8

The graph of √f(x) when the graph of f(x) > 1

Answer 8

√f(x) is below y=f(x)

Question 9

If the point (x,y) lies on the graph of f(x), then the image of the point on the graph of y=√f(x) is …

Answer 9

(x, √y)

Question 10

steps of solving a √ equation algebraically

Answer 10

1. identify any restrictions
2. isolate radical on one side
3. square each side and solve equation
4. verify to see any extraneous roots (LS=RS)

Question 11

Impacts on domain of √f(x) when tranformed

Answer 11

H values and when B=-1

H values show the x value of the endpoint
when B is -1 this is a reflection in the y-axis which changes your alligator

Question 12

Impacts of range of √f(x) when transformed

Answer 12

K values and A=-1

K value gives the y value of the endpoint
when a is -1 this a reflection in the x-axis which changes the alligator

Question 13

solving √f(x) graphically

Answer 13

slap it into Y1 and Y2