Functions and graphs

Question 1

how to find the vertex of a parabola in standard form

Answer 1

standards form = y= ax^2+bx+c
x of vertex = x= -b/2a

Question 2

When you are doing transformation to the X axis and your sifting to the right, is that x- shift or x+ shift

Answer 2

x- its counter intuitive

Question 3

When you are doing transformation to the X axis and your sifting to the left, is that x- shift or x+ shift

Answer 3

x+ its counter intuitive

Question 4

When you are doing transformation to the Y axis and your sifting up, is that -Y or +Y shift

Answer 4

+y its intuitive

Question 5

When you are doing transformation to the Y axis and your sifting down, is that -Y or +Y shift

Answer 5

-y its intuitive

Question 6

what happens when you are looking for a vertex of a parabola and you only have one x intercept

Answer 6

that is where your vertex must be

Question 7

(q∘r)(x) what does this mean

Answer 7

its a function composition problem
you do q(r(x) so you first work out r(x) and then plug that answer ito q

Question 8

what do you do when you need transform a function
2 ways:
y=f(x) –> y= 2f (x)
y=f(x) –> y= f (2x)

what do you do for each scenario

Answer 8

y=f(x) –> y= 2f (x)
you are transform the y components so you multiply the y components by 2

y=f(x) –> y= f (2x)
you are transform the x components so you divide the x components by 2

Question 9

if you are told to divide two functions how do you find the values that are NOT in the domain of the the division of functions

Answer 9

set the denominator equal to zero and solve or factor