Alg 2 Dec Final 24-25

Front

What is the vertex form of a parabola?

Back

The vertex form of a parabola is given by the equation f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you find the vertex of a parabola given its equation?

Back

To find the vertex of a parabola in the form f(x) = a(x - h)² + k, the vertex is the point (h, k).

Front

What is the process to convert a quadratic equation from standard form to vertex form?

Back

To convert from standard form ax² + bx + c to vertex form, complete the square.

Front

What does a negative 'a' value indicate in the vertex form of a parabola?

Back

A negative 'a' value indicates that the parabola opens downwards.

Front

What is the product of two matrices?

Back

The product of two matrices is obtained by multiplying the rows of the first matrix by the columns of the second matrix, provided the matrices are conformable for multiplication.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, denoted as I.

Front

What are transformations in the context of functions?

Back

Transformations are changes made to the graph of a function, including shifts, stretches, compressions, and reflections.

Front

What does a vertical stretch by a factor of 2 mean for a function?

Back

A vertical stretch by a factor of 2 means that every y-coordinate of the function is multiplied by 2, making the graph taller.

Front

How do you find the inverse of a linear function?

Back

To find the inverse of a linear function f(x) = mx + b, swap x and y and solve for y.

Front

What is the inverse of f(x) = -4x - 12?

Back

The inverse is f⁻¹(x) = -1/4x - 3.