Parent Functions
What family of functions does this parent function belong to?
y = x3
Cubic
What is slope-intercept form?
y=mx+b
What is the graph of a quadratic called?
Parabola
Is this sequence arithmetic or geometric?
4, 8, 12, 16, ...
Arithmetic
If g(x)=(x-1)3, what is g(x)=5?
64
How does k change the parent graph?
Positive k shifts the graph up the y axis
Negative k shifts down the y axis
What is point slope form?
y=a(x-h)+k
OR
y-y1=m(x-x1)
Given y = a(x-h)2+k How will the a change the parent graph? Be specific!
If the absolute value is >1, stretch.
If the absolute value is <1, compress.
What is the equation for the following sequence?
6, 10, 14, 18, ...
t(n) = 4n + 2
If f(x)=(x+3)2, what is f(3r+9)?
9r2 + 72r + 144
How does h change the graph?
Positive h shifts the graph left
Negative h shifts the graph right
What is the vertex? Do all graphs have one?
The maximum or minimum.
NO
What do the solutions of a quadratic represent? And, how many solutions are there for each quadratic?
The x-intercepts. There can be one, two, or none.
What is the equation for the following sequence?
32, 64, 128, 256, ...
t(n) = 16 (2n)
When your question has a negative exponent on a variable in the denominator, where is that variable in your final answer? AND what happens to the exponent?
The numerator; Becomes positive
What is the general equation for the parent y = bx
y = ab(x-h)+k
What is the shape of an absolute value graph?
The graph is a "V" shape.
What is the domain for all quadratic functions?
All Real Numbers
What are the next three terms in this sequence?
16807, 2401, 343, ...
49, 7, 1
What is the line called when a graphed function continually approaches a value, but never reaches it?
Asymptote
Using the parent function y = x2 write the equation in standard form for a shift up 3, left 4, and a stretch factor of -2.
y = -2x2 -16x -29
What is the third axis on a graph called?
The z-axis
When Sophie kicked the soccer ball, it traveled a horizontal distance of 80 feet, and reached 30 feet at it highest point. Write an equation for the path of the soccer ball.
y=-3/160 (x-40)2 + 30
Is the following sequence arithmetic or geometric?
t(n+1) = t(n)2 - 1
Neither
What is the principal's first name?
Jason