IM2 Fall 2024 Semester Exam Review

Front

Solve for x: (x+6)²=49

Back

x=1, -13

Front

Factor: n² + 10n + 25

Back

(n + 5)²

Front

Solve the quadratic equation by factoring: a² + 10a + 21 = 0

Back

-3, -7

Front

Find the equation of the parabola that has moved 3 units to the left and 5 units up.

Back

y=(x+3)²+5

Front

Find the axis of symmetry of: y=3(x-6)(x-10)

Back

x=8

Front

Definition: Quadratic Equation

Back

An equation of the form ax² + bx + c = 0 where a ≠ 0.

Front

Definition: Axis of Symmetry

Back

A vertical line that divides a parabola into two mirror images, given by x = -b/(2a).

Front

Definition: Factoring a Quadratic

Back

Expressing a quadratic equation as a product of its linear factors.

Front

Example: Solve for x: x² - 5x + 6 = 0

Back

x=2, 3

Front

Definition: Vertex of a Parabola

Back

The highest or lowest point of a parabola, found at (h, k) in the vertex form y=a(x-h)²+k.