Linear Functions
What is the y-intercept of the function f(x) = 4x -7
-7
Factor x2 + 3x - 4
(x + 4)(x – 1)
The name of the y-coordinate of the point on the function that crosses the y-axis.
y-intercept
Parent function: f(x) = 2x
Child function: g(x) = –2x + 1 + 10
Describe the transformations
Reflection across the x-axis, horizontal shift left 1 unit, vertical shift up 10 units
In the US, what is the best selling BBQ meat throughout the summer?
Hot dog
True or False: Is y = 3/2x - 7 equivalent to 3x = 2y + 14
True
Simplify and rewrite in standard form
(x + 4x3 - 12 - 2x2) – (x3 + 10 – x2)
3x3 – x2 + x – 22
The type of function that displays growth or decay
Describe the transformations AND state the vertex
Vertical stretch by a factor of 2 and shifted right 5 units
Vertex: (5, 0)
When is the first official day of summer?
June 21st
What is the name of this form of a line: y - 3 = 2(x + 5)?
Point-slope form
Solve by factoring 5x2 + 7x - 6 = 0
x = {–2, 3/5}
Range
Write the transformed function of f(x) = –3(2)x – 8 that is shifted right 7 units and down 2 units.
f(x) = –3(2)x –7 – 2
Seen on all sunscreen bottles, what does the term SPF stand for?
A) Skin Protection Factor
B) Sun Protection Factor
C) Sun Production Faction
D) Skin Preservation Facilitator
B) Sun Protection Factor
Write an equation of a line in slope intercept form with the slope = -3 and the y-intercept = 8
y = -3x + 8
How many solutions does -x2 + 4x - 7 = 0 have?
No real solutions
The vertical line that goes through the vertex and center of a quadratic function or an absolute value function
The axis of symmetry
Comparing g(x) = 2|x + 4| - 3 and h(x) = 2(x + 4)2 + 3
Which of the following are the same for both functions?
Domain, Range, Y-intercept, Axis of Symmetry, Vertex
Domain & Axis of Symmetry
What are three things you need to build a sandcastle?
Sand, water, bucket, your hands?
Write the equation of a line that is perpendicular to y = -3x + 10 and goes through the point (-4, 7)
y - 7 = 1/3(x + 4)
Multiply (x2 + 5x - 3)(x + 2)
x3 + 7x2 +7x -6
An expression with two unlike terms
Binomial
Write an exponential decay function with the asymptote y = –6
f(x) = (# ≠ 0)*(0 < # < 1)x +/- any number – 6
In the Phineas and Ferb theme song, how many days are there of summer vacation?
104 days