1.1: Parent Functions
Which parent function looks like a 'V'?
Absolute Value
What kind of transformation "flips" a graph?
Reflection
y=3x+7
What is the slope?
3
Which parent function is a horizontal straight line?
Constant
Solve for x:
3x + 10 = 19
x = 3
What function family does this function belong to?
f(x) = x + 2
Linear
Is the following transformation a vertical stretch or shrink?
f(x) = 5.3x
Vertical Stretch
A line has the points (0, 13), (1, 15), and (2, 17).
What is the y-intercept?
(0, 13) or y=13
What transformation is being applied to this function?
f(x) = (x-2)2
Horizontal translation (2 to the right)
What is my cat's name
Phoebe
Name the function family and the transformation that has been applied:
f(x) = 3x2
Quadratic; Vertical stretch of 3
Identify the transformation:
f(x) = x + 7
Vertical translation (up 7)
Write the formula for point slope
y - y1 = m(x - x1)
y = 4x - 2
What is the y intercept?
(0, -2) or y = -2
List the first 5 digits of pi (after the decimal)
3.14159
Name the function family and the TWO transformations applied to it:
f(x) = |x-3|+5
**You must get all parts of the question correct for points
Absolute Value; Horizontal translation (3 to the right); Vertical translation (5 up)
What is the rule for reflecting f(x) over the y-axis?
f(-x)
A function f(x) has a correlation coefficient r = 0.92. What kind of correlation does f(x) have?
Hint: There are two parts to your answer!
Strong; positive
r = -0.3
What kind of correlation is this?
Hint: There's two parts!
Weak; negative
Name at least one college I attended
Western New England University or Rutgers
Write function g as the transformation of f when
f(x)= x; translation 5 units up followed by a vertical stretch by a factor of 2
g(x) = 2x+10
f(x) = |x+3|+2. Write the function g when f(x) has a vertical stretch by a factor of 4:
g(x) = 4|x+3| + 8
A line has the points (0, 5), (2, 11), and (3, 14).
Is there a linear relationship?
If so, what is the slope?
Yes; Slope = 3
y = 5x + 8 represents the equation for a line of best fit where x represents the amount of concert tickets sold and y is the total profit. How many concert tickets need to be sold to make a profit of $33?
5 concert tickets
7 - 24 / 8 x 4 + 6