Unit 2 Part 1 RETAKE (very similar to ExA Retake

Front

What is the value of f(1+2i) for the function f(x) = x^2 - 2x + 4?

Back

f(1+2i) = -1

Front

What is the formula for the vertex h of a quadratic function f(x) = ax^2 + bx + c?

Back

h = -\frac{b}{2a}

Front

What is the value of f(2+3i) for the function f(x) = x^2 + 4x + 7?

Back

f(2+3i) = 10 + 24i

Front

What is the correct equation for the graph that has a vertex at (3,-2) and opens upwards?

Back

y = 2|x-3|-2

Front

What is the vertex of the function f(x) = x^2 - 2x + 4?

Back

The vertex is (1, 3).

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

How do you find the y-intercept of a quadratic function?

Back

Set x = 0 in the function 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

What is the formula for the discriminant of a quadratic equation?

Back

D = b^2 - 4ac.

Front

What is the axis of symmetry for a quadratic function?

Back

x = -\frac{b}{2a}.