Cycle 5 STAAR Check

Front

What is the range of the function f(x) = -x² + 60x?

Back

All real numbers that are less than or equal to 900.

Front

What is the vertex of the graph of g(x) = f(x + 7.2) if f(x) = x²?

Back

(-7.2, 0)

Front

What are the solutions to the equation 5(x + 3)² = 75?

Back

-3 ± √15

Front

What can be said about the solution to the system of equations where one equation is f(x) = -4x + 8 and the other has a different slope?

Back

The system has exactly one solution.

Front

What is the domain of the part of the quadratic function graphed on the grid?

Back

All real numbers greater than or equal to -2 and less than or equal to 3.

Front

Define the range of a function.

Back

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

Front

What is a vertex in the context of a quadratic function?

Back

The highest or lowest point on the graph of a quadratic function.

Front

What does it mean for a system of equations to have no solutions?

Back

The lines representing the equations are parallel and never intersect.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).