Functions
What is the range of the ordered pairs?
(5, 1) (2, -3) (4, 6) (0, 0) (1, -3)
{ -3, 0, 1, 6}
Describe the transformations from the parent function f(x) = x^2.
g(x) = 2(x+3)^2 - 5
- Stretched by a factor of 2
- Translated 3 units left
- Translated 5 units down
Find the vertex of y = 2(x-1)(x+3)
(-1, -8)
What is the slope of a line that is perpendicular to a line with a slope of -3?
1/3
The equation y = 2.813x + 37.341 represents the relationship between the number of hours studied (x) and a student's test score (y). Predict the test score for a student who studies for 12 hours. Round your answer to the nearest whole number.
51
What is the parent function of f(x) = 5
Constant Function
Describe the transformations from the parent function f(x) = x^2.
g(x) = -(4/3)x^2 - 9
- Reflected over x-axis
- Stretched by a factor of 4/3
- Translated 9 units down
Write the equation of an absolute value function that has a vertex at (4, -6) and opens downward.
f(x) = -|x - 4| - 6
Write the equation of a line that passes through the point (1, -2) and is parallel to the line y = 4x - 10.
y = 4x - 6
The table below shows the number of ice cream cones sold for different outside temperatures in degrees Fahrenheit. Find the equation of the line of best fit. Round numbers to the hundredths place.
Temperature | 53 62 70 82 90
Number of Cones | 90 105 117 131 147
y = 1.48x + 12.09
What is the slope of a vertical line and the slope of a horizontal line?
The slope of a vertical line is undefined and the slope of a horizontal line is 0.
Write an equation from the parent function y = x^2 that has the transformations: compression by 1/2, reflection over the x-axis, and translation of 4 units to the left.
y = -(1/2)(x+4)^2
What is the minimum of y = 5x^2 + 6x + 2?
Round answers to the nearest tenths place, if necessary.
(-0.6, 0.2)
OR
(-3/5, 1/5)
Write an equation of a line in point-slope form that passes through the points (-3, 5) and (3, 13).
y - 5 = (4/3)(x + 3)
OR
y - 13 = (4/3)(x - 3)
The table shows the total costs in dollars for different numbers of days spent at a childcare center. Find the line of best fit and make a prediction for the total cost to stay at the childcare center for 26 days.
# of days | 5 10 15 20 25 30
total cost | 225 425 625 825 1025 1225
Line of best fit: y = 40x + 25
The total cost to stay for 26 days is $1065