C1 - Quadratics

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  • Created by: jackjj9
  • Created on: 10-10-16 21:25
What is the quadratic form?
ax2 + bx + c = 0
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When a is positive, what is the shape of the graph?
Happy, positive face
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When a is negative, what is the shape of the graph?
Sad, negative face
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What is the formula to find the line of symmetry in x?
-b/2a
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What do you do to find the minimum point?
Substitute in -b/2a for x
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What do you do to find the x intercepts (roots)
sub in y=0 and solve
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What is the discriminant of x?
b2 - 4ac
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When b2-4ac = 0, where does the curve touch the x axis?
It touches it in one place - has equal roots
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When b2-4ac is greater than 0, where does the curve touch the x axis?
It intercepts in two places - has 2 real roots
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When b2-4ac is less than 0, where does the curve touch the x axis?
Nowhere - there are no real roots
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What is the quadratic formula?
[-b+-root(b2-4ac)]/2a
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What is the form of completing the square?
A(X+B)^2-C
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In what form do you usually leave the solutions to the quadratic formula?
Surds
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What can be said about the relationship between the x axis and y axis to a reciprocal graph?
The reciprocal graph is asymptotic to the axes.
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What is the asymptote line?
The line that a f(x) will never meet
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In what quadrant(s) will the graph of y=1/x be in?
Top right and bottom left
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In what quadrant(s) will the graph of y=-1/x be in?
Top left and bottom right
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If y=k/x is graphed and the value is k increases, does the the curve move further away or closer to the axes?
Further away from both the x and y axes, in both quadrants
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What is the shape of positive a cubic graph?
An S shape
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What is the shape of a negative cubic graph?
A backwards S shape
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How do you find the points of intersection of two curves?
Set the functions (equations) equal to each other and solve for x. Then sub in the values of x and solve for y.
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The number of intersections corresponds to the number of, what?
Solutions
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Other cards in this set

Card 2

Front

When a is positive, what is the shape of the graph?

Back

Happy, positive face

Card 3

Front

When a is negative, what is the shape of the graph?

Back

Preview of the front of card 3

Card 4

Front

What is the formula to find the line of symmetry in x?

Back

Preview of the front of card 4

Card 5

Front

What do you do to find the minimum point?

Back

Preview of the front of card 5
View more cards

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