Midterm Review A.2(+)

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 of the parabola.

Front

How do you convert a quadratic function from standard form to vertex form?

Back

To convert from standard form f(x) = ax² + bx + c to vertex form, complete the square.

Front

What is the vertex of the function f(x) = (x - 1)² - 5?

Back

The vertex of the function is (1, -5).

Front

What are the zeros of the function f(x) = (x - 3)(x + 5)?

Back

The zeros of the function are x = 3 and x = -5.

Front

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

Back

The vertex (h, k) can be found using h = -b/(2a) and k = f(h) for the function f(x) = ax² + bx + c.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

Front

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

Back

If the coefficient 'a' in f(x) = ax² + bx + c is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c.

Front

What is the axis of symmetry for the function f(x) = 2x² - 8x + 6?

Back

The axis of symmetry is x = -b/(2a) = 2.

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept can be found by evaluating f(0) in the function f(x) = ax² + bx + c.