Algebra Unit 10/11 Review

Front

What indicates that a parabola has a minimum?

Back

When 'a' is positive in the quadratic equation, the parabola opens upwards and has a minimum point.

Front

What is the vertex of the parabola represented by the equation y = x² + 16x + 71?

Back

V(-8, 7) is the vertex of the parabola.

Front

What is the equation for the axis of symmetry in a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a). For the equation y = x² + 16x + 71, the axis of symmetry is x = -8.

Front

How do you use the quadratic formula to find solutions for a quadratic equation?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

Solve for x using the quadratic formula: x² + 4x - 40 = -8.

Back

x = -8 & x = 4.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic equation determine?

Back

The 'a' value determines the direction of the parabola: if 'a' is positive, it opens upwards; if 'a' is negative, it opens downwards.

Front

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

Back

The y-intercept can be found by evaluating the function at x = 0.

Front

What is the significance of the discriminant in the quadratic formula?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, there are two real solutions; if zero, one real solution; if negative, no real solutions.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex.