Unit 2 Canvas Re-test

Front

What is a parabola?

Back

A parabola is a conic section that is the set of all points equidistant from a fixed point (the focus) and a line (the directrix).

Front

What is a hyperbola?

Back

A hyperbola is a conic section that is the set of all points where the absolute difference of the distances to two fixed points (the foci) is constant.

Front

What is the standard form of a parabola that opens to the right?

Back

The standard form is (y-k)² = 4p(x-h), where (h,k) is the vertex and p is the distance from the vertex to the focus.

Front

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

Back

For a parabola in the form (y-k)² = 4p(x-h), the directrix is the line x = h - p.

Front

What transformation is applied when a function is reflected over the y-axis?

Back

Reflecting a function over the y-axis involves replacing x with -x in the function's equation.

Front

What does it mean to vertically stretch a function by a factor of 2?

Back

Vertically stretching a function by a factor of 2 means multiplying the output (y-values) of the function by 2.

Front

How do you evaluate a function at a complex number?

Back

To evaluate a function at a complex number, substitute the complex number into the function and simplify.

Front

What is the vertex of a parabola given in standard form?

Back

The vertex of a parabola in the form y = ax² + bx + c can be found using the formula (-b/2a, f(-b/2a)).

Front

What is the focus of a parabola?

Back

The focus of a parabola is a fixed point located along the axis of symmetry, which is used to define the parabola.

Front

What is the axis of symmetry for a parabola?

Back

The axis of symmetry is a vertical line that passes through the vertex of the parabola, dividing it into two mirror-image halves.