Formative Assessment: Quadratic Functions

Front

What is the axis of symmetry for a parabola?

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) for a quadratic equation in standard form y = ax² + bx + c.

Front

How do you find the y-intercept of a parabola?

Back

The y-intercept of a parabola is found by evaluating the function at x = 0. In the standard form y = ax² + bx + c, the y-intercept is the value of c.

Front

What does it mean if a parabola opens upwards?

Back

A parabola opens upwards if the coefficient 'a' in the quadratic equation y = ax² + bx + c is positive (a > 0).

Front

What does it mean if a parabola opens downwards?

Back

A parabola opens downwards if the coefficient 'a' in the quadratic equation y = ax² + bx + c is negative (a < 0).

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 and a ≠ 0.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards. It can be found using the formula (h, k) where h = -b/(2a) and k is the value of the function at h.

Front

What is the significance of the 'a' value in a quadratic function?

Back

The 'a' value determines the direction of the parabola (upward or downward) and affects the width of the parabola. A larger absolute value of 'a' makes the parabola narrower.

Front

What is the y-coordinate of the vertex in a quadratic function?

Back

The y-coordinate of the vertex can be found by substituting the x-coordinate of the vertex (h = -b/(2a)) back into the quadratic equation.

Front

What is the factored form of a quadratic equation?

Back

The factored form of a quadratic equation is y = a(x - r1)(x - r2), where r1 and r2 are the roots of the equation.

Front

How do you determine the roots of a quadratic equation?

Back

The roots of a quadratic equation can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).