section 5.3 parabolas tables and terms

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Entering functions and creating tables on the Casio fx-115ES
Plus:
1) Hit mode button – select option 7 – TABLE
2) Type in the function (see below if your calculator asks for a g(x) function) - hit
ALPHA / right parenthesis for the letter x. Hit equals after you
enter the function.
3) Fill in the lowest number for your table as the starting point
and the highest x-value for your ending point. We generally will
enter 1 for the step.
4) I think you have to hit the mode button again to get out of
the table. Select table again if you want to generate another
table, select CMPLX if you are done creating tables.
HOW TO TURN OFF THE G(X) function
HIT SHIFT THEN SETUP ARROW DOWN ONCE SELECT OPTION 5 – TABLE CHOOSE
THE F(X) ONLY OPTION.
PARABOLA’s
Vertex – point at the top or bottom of the parabola
Axis of symmetry – is a vertical line that cuts a parabola into halves. Axis of symmetry always has an
equation x = x-coordinate of the vertex
Maximum point – if the vertex of a parabola is at the top of the graph the vertex is called a maximum
point, and the y-coordinate of the vertex is the largest y-value of any point on the graph.
Minimum point – if the vertex of a parabola is at the bottom of the graph the vertex is called a
minimum point, and the y-coordinate of the vertex is the smallest y-value of any point on the graph.
TABLES:
Problems #1-12 (problems with only 1 x-term)
x
y
-2
-1
0
1
2
Problems #13 -24 & #25-36 (only for the problems with parenthesis, #31 and 32 use #1-12 table)
Change the sign of the number in the parenthesis and put it in the middle of the x-column
For example
F(x) = 7(x-4)2 + 5
x
y
2
3
4
5
6
F(x) = 2(x+6)2 + 5
x
y
-8
-7
-6
-4
-4
Problems #37 – 48 (two x-terms no parenthesis problems)
F(x) = 3x2 - 12x + 1 use –b/2a for number in
middle of x-column
x
0
1
2
3
4
y
−𝑏
2𝑎
=
−(−12)
2(3)
=2
F(x) = 5x2 + 30x - 6 use –b/2a for number in
−𝑏
−30
middle of x-column 2𝑎 = 2(5) = −3
x
-5
-4
-3
-2
-1
y
PARABOLA’s
Vertex – point at the top or bottom of the parabola
Axis of symmetry – is a vertical line that cuts a parabola into halves. Axis of symmetry always has an
equation x = x-coordinate of the vertex
Maximum point – if the vertex of a parabola is at the top of the graph the vertex is called a maximum
point, and the y-coordinate of the vertex is the largest y-value of any point on the graph.
Minimum point – if the vertex of a parabola is at the bottom of the graph the vertex is called a
minimum point, and the y-coordinate of the vertex is the smallest y-value of any point on the graph.
Below is a graph of a parabola. Here are some features that you should be able to identify.




Vertex (3,4)
Axis of symmetry x = 3
The vertex is a maximum point
maximum y-value of any point on the graph is y = 4
Below is a graph of a parabola. Here are some features that you should be able to identify.




Vertex (-2,1)
Axis of symmetry x = -2
The vertex is a minimum point
minimum y-value of any point on the graph is y = 1
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