Algebra Test Functions and Graphs 2

Question 1

What transformation does y = f(x) + 3 represent?

Accepted Answer

Shift 3 units up

Answer

Adding a constant outside the function shifts the graph vertically upward by 3 units.

Question 2

Which function graphs as a straight line?

Accepted Answer

f(x) = 2x + 1

Answer

f(x) = 2x + 1 is a linear function and graphs as a straight line.

Question 3

If f(x) = x² + 1 and g(x) = 2x, what is (f ∘ g)(3)?

Accepted Answer

37

Answer

g(3) = 6; then f(6) = 36 + 1 = 37.

Question 4

A negative leading coefficient on a quadratic function:

Accepted Answer

Makes it open downward

Answer

A negative leading coefficient reflects the parabola over the x-axis so it opens downward.

Question 5

What is the inverse of f(x) = 2x + 6?

Accepted Answer

f⁻¹(x) = (x - 6)/2

Answer

Swap x and y: x = 2y + 6, then solve for y: y = (x - 6)/2.

Algebra Test Practice Test