2.1 - 2.4 Algebra 2

Question 1

A ____ is a function that can be written in the form F(x) = a (x-h)2 + k, where a does not = 0.

Answer 1

Quadratic function

Question 2

The U-shaped graph of a quadratic function is called a ____.

Answer 2

Parabola.

Question 3

The lowest point on a parabola that opens up or the highest point on a parabola that opens down is the ____.

Answer 3

Vertex

Question 4

The ____ of a quadratic function is f(x)= a(x-h)2+k, where a doesn’t equal 0 and the vertex is (h,k).

Answer 4

vertex form

Question 5

An ____ of a parabola is a line that divides the parabola into mirror images and passes through the vertex.

Answer 5

Axis of stmmetry

Question 6

Quadratic functions can also be written in ____, f(x) = ax2 +bx +c, where a doesn’t equal 0.

Answer 6

standard form

Question 7

________________:
1. p and q are the x-intercepts of the parabola.
2. The axis of symmetry is x = p+q/2.

Answer 7

Properties of the Graph of f(x)=a(x-p)(x-q)

Question 8

A fixed point in the interior of a parabola, such that the set of all points (x,y) of the parabola are equidistant from the point and the directrix is called the ____ of the parabola.

Answer 8

focus

Question 9

A fixed line perpendicular to the axis of symmetry, such that the set of all points (x,y) of the parabola are equidistant from the focus and this line is called the ____ of the parabola.

Answer 9

directrix

Question 10

________________:
1. Given a point and the vertex (h,k): y=a(x-h)2+k
2. Given a point and x-intercepts p and q: y=a(x-p)(x-q)

Answer 10

Writing quadratic equations