Algebra 2 Semester 1 Review #1

Front

What is the vertex of the parabola represented by the equation y = 2(x - 7)^2 + 4?

Back

(7, 4)

Front

In a system of equations, what do you multiply the second equation by to eliminate y if the first equation is y = 4x - 20 and the second is y = -x - 5?

Back

-2

Front

What is the domain of the graph represented by the equation?

Back

-4 ≤ x ≤ 6

Front

What is the range of the function represented by the equation?

Back

-3 ≤ y ≤ 2

Front

What is the solution to the system of equations y = 4x - 20 and y = -x - 5?

Back

(3, -8)

Front

Define the vertex of a parabola.

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the standard form of a quadratic function?

Back

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

Front

What does the term 'domain' refer to in a function?

Back

The set of all possible input values (x-values) for the function.

Front

What does the term 'range' refer to in a function?

Back

The set of all possible output values (y-values) for the function.

Front

How do you determine the vertex from the standard form of a quadratic equation?

Back

The vertex can be found at the point (h, k) in the equation y = a(x - h)^2 + k.