Chapter 9 Extra Credit

Front

What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

The vertex is (-5, -4).

Front

How do you solve the quadratic equation 2x² - x - 3 = 0 using the Quadratic Formula?

Back

The solutions are x = -1 and x = \frac{3}{2}.

Front

Does the parabola given by the equation y = -(x - 4)² - 3 have a maximum or minimum value?

Back

It has a maximum value.

Front

What is the vertex form of the quadratic function f(x) = x² + 6x + 5 after completing the square?

Back

The vertex form is (x + 3)² - 4.

Front

What point does the axis of symmetry of a parabola pass through?

Back

The axis of symmetry passes through the vertex.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

What does the 'a' value in the quadratic equation y = ax² + bx + c determine?

Back

The 'a' value determines the direction and width of the parabola.

Front

How can you find the x-coordinate of the vertex of a parabola in standard form?

Back

The x-coordinate of the vertex is given by x = -\frac{b}{2a}.

Front

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

Back

The discriminant (b² - 4ac) determines the number of real solutions.

Front

What is the vertex of the parabola represented by the equation y = -2(x - 1)² + 3?

Back

The vertex is (1, 3).