Semester 1 Final Exam: Algebra 2

Front

What is the transformation of the equation y = -2 |x - 3| + 3 from the parent function y = |x|?

Back

Reflected over the x-axis, stretched by 2, shifted right 3, and shifted up 3.

Front

Which function defines the graph that has a vertex at (-4, 3)?

Back

f(x) = |x + 4| + 3

Front

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted up 6.

Back

y = 2/5|x| + 6

Front

What is the range of the function represented by the set {(-1, -3), (0, 1), (1, 5), (3, 9)}?

Back

{-3, 1, 5, 9}

Front

What is the result of the polynomial subtraction (5x^4 - 4x^3 - 2x^2 + x - 19) - (x^4 + 5x^3 + 8x^2 + x + 5)?

Back

4x^4 - 9x^3 - 10x^2 - 24

Front

What does it mean for a function to be vertically stretched by a factor of k?

Back

The output values of the function are multiplied by k, making the graph taller.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a degree of 1, while a quadratic function has a degree of 2.