Reading Standard Form
What is standard form?
y=Ax^2+bx+c
What is the formula to find the axis of symmetry?
-b/2a
What is slope intercept form?
y=mx+b
What is a parent function?
The simplest form of a function ex. f(x)=x
Ruby is saving up to buy a new jacket. She already has $25 and can save an additional $7 per week using money from her after school job. Write an expression that represents the amount of money Ruby would have saved in w weeks.
y=7x+25
What is the "a" value in the function 2x^2+3x+4?
2
Find the axis of symmetry of the function y=-x^2+4x+3
x=2
What is point slope form?
y-y1=m(x-x1)
Describe the translation f(x)= (x-1) + 3
1 unit right, 3 units up
Carson is going to see a movie and is taking his 2 kids. Each movie ticket costs $14 and there are an assortment of snacks available to purchase for $3.50 each. How much would Carson have to pay if he bought x snacks for everybody to share?
y= 3.50x+42
What is the "b" value in the function 3x^2+3x+2
3
Find the vertex of -x^2-2x
(-1,1)
What is standard slope form?
Ax+By=C
Describe the transformation f(x)= (x+2)^2-4
2 units left, down 4
Carson is going to see a movie and is taking his 2 kids. Each movie ticket costs $14 and there are an assortment of snacks available to purchase for $3.50 each. How much total money would Carson have to pay for his family if he were to buy 2 snacks for everybody to share?
$49
What is the "c" value in the function x^2+3x+5
5
Find the vertex of -x^2-2
(0,-2)
Convert from point slope to slope intercept from of a line that goes through the point (4,1) and has a slope of 2
y=2x-7
Describe the transformation f(x)= 7ln(x)
Vertical stretch by a factor of 7
Ms. Kincer watched a hovercraft take off from a platform in her backyard. The height of the hovercraft (in meters above the ground) t minutes after takeoff is modeled by the function: − 4t^2 + 8t +32. How many minutes after takeoff did the hovercraft reach its highest point?
1 minute
What is the "b" value in the function x^2+3
0
Find the vertex of 1/2x^2-6x+11
(6,-7)
Convert from standard to slope intercept form 4x+5y=-30
y=-4/5x-6
Write a function based off the transformation of parent function f(x)=|x| a vertical compression by a factor of 1/5, right 5, up 2
f(x)=1/5|x-5|+2
Ms. Curry is a professional deep water free diver in her spare time. Her altitude, given in meters relative to sea level, x seconds after diving, is modeled by the function h(x) =1/2x^2-10x.
36m