Math 2-Unit 2 Midterm Review Day 2

Front

What is the equation of the graph that opens upwards and has its vertex at (1, -5)?

Back

f(x) = (x - 1)² - 5

Front

What is the factored form of the quadratic equation y = x² - 9x + 14?

Back

(x - 7)(x - 2)

Front

What is the factored form of the quadratic equation y = x² - 6x + 9?

Back

(x - 3)(x - 3)

Front

What is the x-intercept of the function y = (x + 2)(x - 8)?

Back

x = 8

Front

What is the standard form of a quadratic function?

Back

f(x) = ax² + bx + c

Front

What does the vertex form of a quadratic function look like?

Back

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

Front

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

Back

Set y = 0 and solve for x.

Front

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

Back

The discriminant is b² - 4ac; it indicates the nature of the roots.

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

Two distinct real roots.

Front

What does a zero discriminant indicate about the roots of a quadratic equation?

Back

One real root (a repeated root).