Algebra 1 STAAR Review - Category 4

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What does the coefficient 'a' in the quadratic equation y = ax² + bx + c represent?

Back

The coefficient 'a' determines the direction and width of the parabola. If 'a' is positive, the parabola opens upwards; if negative, it opens downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

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

Front

How do you find the minimum or maximum value of a quadratic function?

Back

The minimum or maximum value occurs at the vertex of the parabola, which can be found using the vertex form or by calculating the vertex coordinates.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c, where a, b, and c are constants.

Front

What is the difference between the domain and range of a function?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values).

Front

What does it mean for a function to be quadratic?

Back

A function is quadratic if it can be expressed in the form y = ax² + bx + c, where a ≠ 0.

Front

How does changing the value of 'b' in the equation y = ax² + bx + c affect the graph?

Back

Changing 'b' affects the position of the vertex and the axis of symmetry, but does not change the direction of the parabola.

Front

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

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, no real roots.

Front

What is a parabola?

Back

A parabola is the graph of a quadratic function, which is U-shaped and can open upwards or downwards.