Algebra 2 Extra Credit Final Review

Front

What is the equation of a polynomial that has roots at x = -2, x = 1, and x = 3?

Back

y = (x + 2)(x - 1)(x - 3)

Front

How do you solve the quadratic equation 2x^2 + 17x + 21 = 0 by completing the square?

Back

x = -7, -\frac{3}{2}

Front

What are the solutions to the equation x^2 - 6x = 40?

Back

x = 10 and x = -4

Front

What is the y-intercept of the equation 8y = 2x - 4?

Back

(0, -\frac{1}{2})

Front

How do you solve the quadratic equation 2x^2 - 3x + 1 = 0 using the quadratic formula?

Back

x = 1, \frac{1}{2}

Front

What is the standard form of a quadratic equation?

Back

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

Front

What is the vertex form of a quadratic equation?

Back

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

Front

What is the discriminant of a quadratic equation and what does it indicate?

Back

The discriminant is b^2 - 4ac; it indicates the nature of the roots.

Front

What does it mean for a quadratic function to be concave up or concave down?

Back

Concave up: a > 0; Concave down: a < 0.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the equation ax^2 + bx + c = 0.