Quadratic Equations Flashcard

Front

Convert the quadratic equation to vertex form: y = x² + 4x + 1

Back

y = (x + 2)² - 3

Front

What is the solution to the quadratic equation x² - 4x - 5 = 0 using the quadratic formula? Options: Factoring, Completing the square, Quadratic formula, Graphing

Back

Quadratic formula

Front

3x² - 12x + 9 = 0: What are the solutions?

Back

x = 3, x = 1

Front

Simplify: 2i(4 + 6i)

Back

-12 + 8i

Front

(3 + 4i) - (1 - 3i)

Back

2 + 7i

Front

(2 - 6i)²

Back

-32 - 24i

Front

(x - 3)² + 8 = 17

Back

x = 4

Front

A quadratic equation with two distinct real roots can be expressed as bx² - 5x + 6 = 0, for some real number b. Which of the following could be the value of b? Options: 1, 2, 3, 4

Back

3

Front

Transformation causing g(x) = 0 to have two real solutions?

Back

A vertical shift down 3 units

Front

For k > 0, under what condition does the equation g(x) = a(x - h)^2 + k have no real solutions? Options: a > 0, a < 0, h > 0, h < 0.

Back

a > 0