Unit 3 Review

Front

Convert the equation f(x) = x^2 - 12x + 40 into vertex form.

Back

f(x) = (x - 6)^2 + 4

Front

What is another word for ROOTS?

Back

Zeros

Front

Solve the system of linear and quadratic equations: y = 5 and y = 2x^2 - 16x + 29.

Back

(6, 5) and (2, 5)

Front

Find the solution for the given pairs: (6,4) and (3,1), (-2,7) and (5,2), (5,4) and(-2,-5), (1,-1) and (4,2).

Back

(1,-1) and (4,2)

Front

What is the axis of symmetry for this graph?

Back

x=2

Front

What is the vertex of the parabola represented by f(x) = (x - 6)^2 + 4?

Back

(6, 4)

Front

Define a quadratic function.

Back

A function of the form f(x) = ax^2 + bx + c, where a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

f(x) = ax^2 + bx + c.

Front

What does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).

Front

How do you find the axis of symmetry for a quadratic function?

Back

x = -b/(2a), where f(x) = ax^2 + bx + c.