Unit 3 Review Quadratics

Front

What is the range of a quadratic function in vertex form?

Back

The range of a quadratic function in vertex form is all real numbers greater than or equal to the y-coordinate of the vertex if the parabola opens upwards, or all real numbers less than or equal to the y-coordinate of the vertex if it opens downwards.

Front

What is the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

What is the degree of a quadratic equation?

Back

The degree of every quadratic equation is 2.

Front

What transformations occur when changing from the parent function y = x² to y = -1/5(x - 1)² + 7?

Back

The transformations include a reflection over the x-axis, a vertical shrink by a factor of 1/5, a horizontal shift to the right by 1 unit, and a vertical shift up by 7 units.

Front

How do you solve the equation x² = 121 using square roots?

Back

To solve x² = 121, take the square root of both sides, resulting in x = ±11.

Front

What is the vertex of a quadratic function in standard form?

Back

The vertex of a quadratic function in standard form ax² + bx + c can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the axis of symmetry for a quadratic function?

Back

The axis of symmetry for a quadratic function in standard form ax² + bx + c is the vertical line x = -b/(2a).

Front

What does it mean for a quadratic function to have real roots?

Back

A quadratic function has real roots if its discriminant (b² - 4ac) is greater than or equal to zero.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function is given by f(x) = a(x - h)² + k, where (h, k) is the vertex.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

A quadratic function opens upwards if the coefficient 'a' is positive and opens downwards if 'a' is negative.