FINAL: Quadratic Equations and Their Solutions

Front

True or false: The solution, root, x-intercept, and zero of a problem are all the same thing.

Back

True

Front

Solve by factoring or quadratic formula: 3x^2 + 5x + 2 = 0

Back

x = -2/3 and x = -1

Front

Solve 2x^2 + 2x - 12? (Quadratic formula or factoring)

Back

x = 2, x = -3

Front

What is the significance of the ordered pair (2, -4) to the graph?

Back

It is the vertex.

Front

Identify a, b and c in the quadratic equation: 2x^2 - 3x - 5 = 0

Back

a = 2, b = -3, c = -5

Front

What is a quadratic equation?

Back

An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the quadratic formula?

Back

x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}.

Front

What does the discriminant (b^2 - 4ac) tell us about the roots of a quadratic equation?

Back

It determines the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, no real roots.

Front

What is the vertex form of a quadratic equation?

Back

y = 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 the quadratic equation for x.