Graphing Quadratic Equations a step-by-step guide with practice.
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Graphing Quadratic Equations a step-by-step guide with practice
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Graphing from Standard Form Graph y = x 2 – 6x + 8. Step 1: Find the axis of symmetry. go to next slide for step 2
Transcript of Graphing Quadratic Equations a step-by-step guide with practice.
Graphing Quadratic Equations
a step-by-step guide with practice
Graphing from Standard FormGraph y = x2 – 6x + 8.
go to next slide for step 1
Graphing from Standard FormGraph y = x2 – 6x + 8.Step 1: Find the axis of symmetry.
go to next slide for step 2
6 32 2bxa
Graphing from Standard FormGraph y = x2 – 6x + 8.Step 2: Find the vertex.
Vertex: (3, – 1)
go to next slide for step 3
3x 2(3) 6(3) 8 1y
Graphing from Standard FormGraph y = x2 – 6x + 8.Step 3: Complete an x/y table.
x y1 32 03 -14 05 3
go to next slide for final graph
Graphing from Standard FormGraph y = x2 – 6x + 8.
What are the solutions?
x = 2 and x = 4
Graphing from Standard FormTry this one:Graph y = – x2 + 5x – 2.
Graphing from Standard FormTry this one:Graph y = – x2 + 5x – 2.
Graphing from Intercept FormGraph y = (x – 4)(x + 2).
go to next slide for step 1
Graphing from Intercept FormGraph y = (x – 4)(x + 2).Step 1: Find the x-intercepts.
x – 4 = 0 x = 4 x + 2 = 0 x = – 2
go to next slide for step 2
Graphing from Intercept FormGraph y = (x – 4)(x + 2).Step 2: Find the axis of symmetry.
go to next slide for step 3
Graphing from Intercept FormGraph y = (x – 4)(x + 2).Step 3: Complete an x/y table.
x y-1 -50 -81 -92 -83 -5
go to next slide for final graph
Graphing from Intercept FormGraph y = (x – 4)(x + 2).
What are the solutions?
x = – 2 and x = 4
Graphing from Intercept FormTry this one:Graph y = (x + 3)(x + 1).
Graphing from Intercept FormTry this one:Graph y = (x + 3)(x + 1).
What are the solutions?
x = – 3 and x = – 1
Graphing from Vertex FormGraph y = 2(x – 1)2 + 3
go to next slide for step 1
Graphing from Vertex FormGraph y = 2(x – 1)2 + 3Step 1: Find the vertex.
vertex: (1, 3)
go to next slide for step 2
Graphing from Vertex FormGraph y = 2(x – 1)2 + 3Step 2: Find the axis of symmetry.
go to next slide for step 3
Graphing from Vertex FormGraph y = 2(x – 1)2 + 3Step 3: Complete an x/y table.
x y-1 110 51 32 53 11
go to next slide for final graph
Graphing from Vertex FormGraph y = 2(x – 1)2 + 3
What are the solutions?
There are NO real solutions … later we will learn how to find the imaginary/complex
solutions!
Graphing from Vertex FormTry this one:Graph y = – (x + 1)2 + 2
Graphing from Vertex FormTry this one:Graph y = – (x + 1)2 + 2
