Algebra 1 STAAR Review

Front

What is the vertex of the quadratic function y = ax^2 + bx + c?

Back

The vertex of the quadratic function is the point (h, k) where h = -b/(2a) and k = f(h). It represents the maximum or minimum point of the parabola.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the 'a' value in a quadratic function determine?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola (narrower if |a| > 1, wider if |a| < 1).

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a). It is a vertical line that divides the parabola into two mirror images.

Front

What is the transformation of the function f(x) = x^2 when it becomes f(x) = (x - 3)^2?

Back

The transformation is a horizontal shift to the right by 3 units.

Front

What is the transformation of the function f(x) = x^2 when it becomes f(x) = x^2 + 4?

Back

The transformation is a vertical shift upward by 4 units.

Front

What does it mean for a quadratic function to have a maximum value?

Back

A quadratic function has a maximum value when the parabola opens downward (a < 0), and the vertex represents the highest point on the graph.

Front

What does it mean for a quadratic function to have a minimum value?

Back

A quadratic function has a minimum value when the parabola opens upward (a > 0), and the vertex represents the lowest point on the graph.

Front

What is the effect of a negative 'a' value in a quadratic function?

Back

A negative 'a' value reflects the parabola over the x-axis, changing its direction from opening upwards to downwards.

Front

What is the quadratic parent function?

Back

The quadratic parent function is f(x) = x^2. It is the simplest form of a quadratic function and serves as the basis for transformations.