VOCAB
A Transformation of a function that maps each point of its graph to a new location
Transformation
2x - y = 12
y= -8
2, -8
Write the equation of the parabola that has a vertex at (–3,–4)
y = a(x+3)2-4
Slope Intercept Form
y= mx +b
How Do you read a graph?
From left to Right
A Transformation that Shifts the graph of the parent function horizontally, vertically, or both.
Translation
9x + 8y=10
y = 8
-6, 8
What is the equation of a quadratic function with vertex (−2, 3) and y-intercept −1?
What is a?
-1 = a (0+2)2+3
a=-1
y= a(x-h)2+k
What is the rate of this equation?
f(x)=a (1 -.0001)2
Decay
A transformation that reflects the graph across a line such as the x or y axis
Reflection
y = 5x - 8
y = -x + 10
3, 7
A parabola opening up or down has vertex (5,1) and passes through (20,19). Write its equation in vertex form.
19 =a (20-5) +1
Standard Form
f(x)=ax2+bx+c
How many Yards are in 1 Mile?
1,760 yards
A set of real numbers by the pair of values that are its left (minimum) and right (maximum) boundaries.
Interval Notation
y = 5x +9
y= -3x - 7
-2, -1
What is the equation of a quadratic function with vertex (−2, 3) and y-intercept −2?
-2 = a (0+2)2+3
Factored Form
f(x)=a(x-r1) (x-r2)
how many seconds are in a school day?
(7:33 am - 1:41 pm)
6 hrs 8 mins
22,080 seconds
A verbal description or an inequality to describe the numbers.
Set-Builder Notation
2x + y = –17
2x + 4y = –20
-8, -1
A parabola with a vertex of (1, 1) and which passes through (4,-5)?
What is a?
Also, What is the final Equation?
-2/3 = a
y = -2/3(x-1)2+1
Quadratic Formula
-(b) +- Square root b2 -4ac / 2a
What's worth more a pound of gold or a pound of $100 bills
a Pound of $100 bills