Quadratics Review

Front

What is the factored form of a quadratic equation with roots -7 and -3?

Back

y = (x + 7)(x + 3)

Front

What are the zeros of a quadratic function if the graph intersects the x-axis at points 2 and 6?

Back

The zeros are 2 and 6.

Front

Write the quadratic equation in factored form with roots 3 and -5.

Back

y = (x - 3)(x + 5)

Front

What does the vertex of a parabola represent?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

If the vertex of a parabola is at (3, 1), what can be said about its orientation?

Back

It is at a minimum of (3, 1).

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the vertex of a quadratic function in standard form?

Back

The vertex can be found using the formula x = -b/(2a).

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is the vertical line that passes through the vertex, given by x = -b/(2a).

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the roots of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root: b² - 4ac. It determines the nature of the roots.