Intro to Graphing Quadratics

What is the standard form of a quadratic equation?

• y = mx + b

• y = ax² + bx + c

• y = a(x - h)² + k

What is an axis of symmetry?

• all real numbers

• y = mx + b

• a line that divides the graph in 2 symmetrical halves

• y = 5

Tags

CCSS.HSG.GPE.A.2

Looking at the graph, what do you think are the x-intercepts?

• -3 and 1

• -1 and 3

• -2 and 0

• -1 and -4

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CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

Define x-intercept:

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis, also known as solutions

• Where the parabola touches or intersects the y-axis

• A line the divides the graph into 2 equal parts

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

Define y-intercept:

• Where the parabola touches or intersects the x-axis, also known as solutions

• A line the divides the graph into 2 equal parts

• The lowest y-value on the graph

• Where the parabola touches or intersects the y-axis

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CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Click all of the other names for a solution to a quadratic equations:

• vertex

• root

• zero

• maximum

• x-intercept

Tags

CCSS.HSA.APR.B.3

What shape does a quadratic equation make when graphed?

• a "V" shape

• a line

• a squiggle

• a "U" shape

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSG.GPE.A.2

Define a Maximum of a quadratic equation

• The x-intercepts of the graph

• a line that divides the graph into 2 equal parts

• The solutions

• The highest point on the graph

Define a Minimum of of a quadratic equation

• the solutions

• the line that divides the graph into 2 equal parts

• the lowest point on the graph

• the y-intercept

Tags

CCSS.HSA.REI.B.4

We can graph quadratics in which forms:

• standard form

• completing the square

• quadratic formula

• vertex form

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10