Algebra 2 | Unit 5 | Lesson 4: Reflecting Functions | Practice Problems

The dashed function is the graph of f and the solid function is the graph of g. Express g in terms of f.

The table gives some values of functions f and g. Which of these equations could be true for all values of x?

Here is the graph of a function f. On the same axis, sketch a graph of f reflected over the y-axis and then translate it 3 units up. Write an equation (in terms of f) for a function g that has the graph that you drew.

Tags

CCSS.HSF.BF.B.3

Describe a transformation of the line that contains the two labelled points.

The thermostat in an apartment is set to 75°F while the owner is awake and to 60°F while the owner is sleeping. The function W gives the temperature W(x), in degrees Fahrenheit, in the apartment x hours after midnight. When it is hot outside, the owner changes the settings to be exactly 10 degrees warmer than W to save energy. The function H gives the temperature H(x), in degrees Fahrenheit, x hours after midnight when it is hot outside. If W(6.5) = 75, then what is the corresponding point on H? Use function notation to describe the point on H. If W(2) = 60, then what is the corresponding point on H? Use function notation to describe the point on H. Write an expression for H in terms of W.

Tags

CCSS.HSF-BF.A.1B