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1TTO §12.5 Quadratic formulas
§12.5 Quadratic formulas
Ultra short recap and a look forward too:
+ §12.4 Linear formulas was about STRAIGHT LINES.
+ §12.5 Quadratic formulas is about PARABOLAS.
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Slide 1:
Tekstslide
Wiskunde
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havo, vwo
Leerjaar 1
In deze les zitten
20 slides
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interactieve quizzen
en
tekstslides
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Lesduur is:
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§12.5 Quadratic formulas
Ultra short recap and a look forward too:
+ §12.4 Linear formulas was about STRAIGHT LINES.
+ §12.5 Quadratic formulas is about PARABOLAS.
Slide 1 - Tekstslide
Graphs, graphs, graphs ...
As some graphs will be drawn by you in this paragraph,
now take before you:
+ Notebook
+ Pencil, eraser and geo
Slide 2 - Tekstslide
Slide 3 - Tekstslide
Remember your answer and key it in in the next slide.
Slide 4 - Tekstslide
Quadratic formulas are:
A
abcd
B
abc
C
abd
D
c
Slide 5 - Quizvraag
Solution:
As you've just learned, in order to be a Quadratic Formula,
there must be a SQUARE of a VARIABLE in it!
So this rings true for: a, b and d.
Formula c contains a square all right, but not the square of a variable!
Slide 6 - Tekstslide
Have you got a clue...
what the GRAPH for the FORMULA =
looks like?
Next 2 slides show you all about it.
And more!
x
2
y
Slide 7 - Tekstslide
graph for: =
y
x
2
Slide 8 - Tekstslide
Some points of attention for
the graph of: =
+ watch the nicely rounded shape
+ it's name is: a PARABOLA
+ some 'easy to find' points in the
table are: (3, 9), (1, 1) but also:
(-3,9) and (-1,1)
y
x
2
Slide 9 - Tekstslide
So this graph for the formula:
y = is ....
the BASIC QUADRATIC GRAPH!
In this paragraph you will
meet more quadratic graphs, that
are all variations to this one.
Next slide shows you a graph that is derived from (=afgeleid van) the
Basic graph.
x
2
Slide 10 - Tekstslide
Slide 11 - Tekstslide
Calculate y = x squared when x = -6
A
-36
B
12
C
-12
D
36
Slide 12 - Quizvraag
Solution:
y =
when we fill in: x = -6, we need BRACKETS:
y = = -6 x -6 = 36 (and not -36!)
Let's practice a bit more with this, as it will make doing
your homework easier!
x
2
(
−
6
)
2
Slide 13 - Tekstslide
TASK: y = - 3
Now when x = -4,
what is y ?
Remember and key in in the next slide!
x
2
Slide 14 - Tekstslide
A
-13
B
5
C
-11
D
13
Slide 15 - Quizvraag
SOLUTION: y = -3
Now when x = -4, we replace the variable by -4, as follows:
y = - 3 = -3 = -4 x -4 -3 = 16 - 3 = 13
x
2
x
x
2
(
−
4
)
2
Slide 16 - Tekstslide
Finally ...
You'll learn how to check if a certain point lies on a graph.
We will study the Method how to check this.
If this isn't clear to you, don't worry.
It's all in §12.5 and you can study the Method as long as you need!
Slide 17 - Tekstslide
Suppose you have a graph and a point ...
and you want to know IF that point lies on the graph.
What to do to know for sure?
Let's study the Theory in the next slide together.
Slide 18 - Tekstslide
Slide 19 - Tekstslide
Homework time
Remember to Study the Theory parts (again) when they come up!
Slide 20 - Tekstslide
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