Test #12 - Algebra 2

Front

Given g(x)= -3x and f(x)=x^2+2, find g(f(x)).

Back

g(f(x))= -3x^2-6

Front

Describe the transformation of the function f(x) if it is shifted left 1, reflected over the x-axis, and moved up 2.

Back

Left 1, Reflect over x-axis, up 2

Front

What are the transformations of the function f(x) compared to the parent function if it is shifted left 2?

Back

Shifted left 2

Front

Given f(x)= -3x+7 and g(x)=2x^2 - 8, find f(g(x)).

Back

f(g(x))= -6x^2+31

Front

Simplify the expression: (x^2 - 4)/(x - 2).

Back

x + 2

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the vertex form of a quadratic function?

Back

The vertex form is f(x) = 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 f(x) = 0 and solve for x.

Front

What is the quadratic formula?

Back

x = (-b ± √(b^2 - 4ac)) / (2a) for the equation ax^2 + bx + c = 0.

Front

What does it mean for a function to be even?

Back

A function is even if f(-x) = f(x) for all x in the domain.