Mrs. Warren's Algebra 2 Midterm 2024

Front

What is the factored form of the quadratic expression 4x^2 - 25x + 25?

Back

(x-5)(4x-5)

Front

Factor the expression 3v^2 - 4v - 7.

Back

(3v-7)(v+1)

Front

Given f(x) = 3x + 5 and g(x) = 1/3x + 5, what is f(g(x))? Are the two functions inverses of each other?

Back

f(g(x)) = x + 20; No, they are not inverses.

Front

What type of function is represented by the equation y = sqrt{x}?

Back

Square Root Function

Front

Describe the transformation of the parent square root function for y = sqrt{x + 4}.

Back

Shift left 4 units.

Front

What is the definition of a quadratic function?

Back

A polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you determine if two functions are inverses?

Back

If f(g(x)) = x and g(f(x)) = x for all x in the domain.

Front

What is the standard form of a linear function?

Back

f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

Linear functions have a degree of 1, while quadratic functions have a degree of 2.