6.6-6.8 Assignment

Front

What is the product of f(x) = 4x + 8 and g(x) = x + 3?

Back

f(x) * g(x) = 4x^2 + 20x + 24.

Front

How do you find p(q(x)) if p(x) = 3x + 4 and q(x) = 2x^2?

Back

p(q(x)) = 6x^2 + 4.

Front

What is the first step to solve for x in the equation x^2 = 49?

Back

Take the square root of both sides.

Front

What transformations occur to the graph of a function compared to its parent function if it is shifted right 2, shifted up 3, and reflected over the x-axis?

Back

The graph is transformed accordingly with the specified shifts and reflection.

Front

What is the result of f(x) - g(x) if f(x) = x^2 + 9 and g(x) = x - 9?

Back

f(x) - g(x) = x^2 - x + 18.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the degree of the polynomial f(x) = 4x^3 + 2x^2 - x + 5?

Back

The degree of the polynomial is 3.

Front

What does it mean for a function to be quadratic?

Back

A quadratic function is 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

The vertex form of a quadratic function is f(x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Front

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

Back

Set f(x) = 0 and solve for x.