2TH §5.4 Quadratic formulas

Today's program
Questions about the homework? §5.3 Exercises 18, 19, 20 and 22  
No upload in Classroom? That means: not done your HW

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New theory: Quadratic formulas
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Today's program
Questions about the homework? §5.3 Exercises 18, 19, 20 and 22  
No upload in Classroom? That means: not done your HW

Entry Ticket
New theory: Quadratic formulas

Slide 1 - Tekstslide

timer
4:00
Entry Ticket

Slide 2 - Tekstslide

Learning goals
I know what un upward opening parabola is
I know what a downward opening parabola is
I know what a vertex is
I know what the axis of symmetry means

Slide 3 - Tekstslide

Slide 4 - Tekstslide

Quadratic formulas
                                  is a quadratic formula (it has a variable squared)

If we want to plot the graph of this formula, we should first make a table. Take the horizontal axis from -3 to 7.
y=2x28x

Slide 5 - Tekstslide

Filling in a quadratic formula

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Filling in a quadratic formula

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Plotting the graph for a quadratic formula


This table shows us we should take: 
- the horizontal axis from -3 to 7 (with steps of 1)
- the vertical axis from - 10 to 45 (with steps of 5)

Slide 8 - Tekstslide

Plotting the graph for a quadratic formula

Slide 9 - Tekstslide

Plotting the graph for a quadratic formula


                                                                          Plot all points from the table

Slide 10 - Tekstslide

Plotting the graph for a quadratic formula


                                                                         Plot all points from the table
                                                                         Connect with a smooth curve

Slide 11 - Tekstslide

Upward or downward opening parabola
Graphs for a quadratic formula are
called parabolas
This parabola is an 
upward opening parabola.

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Upward or downward opening parabola
In the coordinate system on the 
right, the green graphs are
upward opening parabolas
and the purple graphs are
downward opening parabolas.

Slide 13 - Tekstslide

Upward or downward opening parabola
You will find that you can tell from the formula if a parabola is upward or downward opening.

If the number in front of 
is positive, it is upward opening
If the number in front of 
is negative, it is downward opening.
x2
x2

Slide 14 - Tekstslide

Vertex
The lowest point in an 
upward opening parabola, 
or the highest point in a 
downward opening parabola 
is called the vertex.

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Axis of symmetry
All parabolas have 
reflection symmetry. 
The vertical line through 
the vertex is the axis of symmetry

All vertical lines have a formula
x = ....

Slide 16 - Tekstslide

HW Tuesday
Do §5.4 Exercises 24, 25, 26 and 29
Check your answers with the solutionsbook!




Slide 17 - Tekstslide