options: Understand the concept of a function and use function notation.

Model periodic phenomena with trigonometric functions.

Prove and apply trigonometric identities.

Build a function that models a relationship between two quantities.

Build new functions from existing functions.

Define, evaluate, and compare functions.

Construct and compare linear and exponential models and solve problems.

Use functions to model relationships between quantities.

Interpret functions that arise in applications in terms of the context.

Interpret expressions for functions in terms of the situation they model.

Analyze functions using different representations.

Extend the domain of trigonometric functions using the unit circle.
problem_activity: Find the roots by factoring each of the following quadratic equations.
Additionally, for each equation, identify:
If the function has symmetry around the
y
-axis
If the root is a double root and the same as the vertex
The
y
-intercept
The vertex
a.
$${3x^2-27=0}$$
b.
$${2x^2+7x-15=0}$$
c.
$${4x^2-10x+25=0}$$


correct_option_index: 10