Lesson 5.1: Quadratic Functions in Standard Form

Question 1

Quadratic Function

Answer 1

A quadratic function is one of the form y=ax^2+bx+c
or f(x)=ax^2+bx+c where a, b, and c are constants (real numbers) and a≠0. This is also called the standard form for a quadratic function.

Question 2

Standard Form

Answer 2

y=ax^2+bx+c or f(x)=ax^2+bx+c

Question 3

Parabola

Answer 3

Quadratic Function in the shape of a “U”. (The graph shape of all quadratic functions)

Question 4

Vertex

Answer 4

A parabola has a turning point known as the vertex. The lowest part of a parabola, or minimum, is called the vertex.

Question 5

Minimum

Answer 5

When the Parabola is in the right side up “U” shape the minimum is the Vertex

Question 6

Maximum

Answer 6

Parabolas can also be flipped upside-down, and in this case, the vertex would be the maximum value

Question 7

Axis of Symmetry

Answer 7

The axis of symmetry is the vertical line that passes through the vertex of the parabola. The axis of symmetry is always the x−coordinate of the vertex.

Question 8

Parent Quadratic Function

Answer 8

The most basic quadratic equation is y=x^2
. This is called the parent quadratic function. The highest exponent of the independent variable is two.

Question 9

y-Intercept

Answer 9

As with linear equations, the y-intercept of a quadratic function is where the graph intersects the y-axis. The x-value is zero at the y-intercept.

Question 10

Graphs of quadratic functions are called _________

Answer 10

parabolas

Question 11

The turning point of the graph of a quadratic function is called the ______

Answer 11

vertex

Question 12

A parabola has a maximum value when it opens ____

Answer 12

down

Question 13

A parabola has a minimum value when it opens __

Answer 13

up

Question 14

The vertical line that passes through the vertex of a parabola is called the ______________

Answer 14

axis of symmetry