A2 Final Exam part 3 & 4

Front

Find the GCF of the terms of the polynomial: 72y^5 + 18y^2

Back

The GCF is 18y^2.

Front

What is the equation of the graph that has its vertex at (1, -5)?

Back

f(x) = (x - 1)^2 - 5.

Front

Simplify: \sqrt{50}

Back

5\sqrt{2}.

Front

Describe the transformation of the function f(x) = (x - 1)^2 - 5 when it is shifted right by 9 units.

Back

The transformation is right 9.

Front

What are the zeros of the factored form: (x + 2)(x - 11) = 0?

Back

The zeros are x = -2 or x = 11.

Front

Define GCF (Greatest Common Factor).

Back

The GCF is the largest positive integer that divides all the terms of a polynomial without leaving a remainder.

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

Explain how to find the zeros of a polynomial function.

Back

Set the polynomial equal to zero and solve for x.

Front

What does it mean to simplify a square root?

Back

To simplify a square root means to express it in its simplest form, removing any perfect squares from under the radical.

Front

What is a transformation in the context of functions?

Back

A transformation is a change made to the graph of a function, such as shifting, reflecting, stretching, or compressing.