Porabolas Flashcards

1
Q

Solve x(x-1)=0

A

x=0 or 1

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2
Q

What is critical value?

A

What x must equal for the equation to be equal to 2. Also the x points on a parabola

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3
Q

What are some things about what is graphed from y=x(2)

A

Its a minimum(happy) parabola

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4
Q

Difference between y=x(2) and y=x(2)+2?

A

The second has moved up 2

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5
Q

What are some things about what is graphed from y=-x(2)

A

It a maximum(sad) parabola

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6
Q

Difference between y=x(2) and y=(x-2)(2)

A

It moves to the right 2

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7
Q

Difference between y=x(2) and y=2x(2)

A

It gets skinnier

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8
Q

Difference between y=x(2) and y=1/2x(2)

A

It gets fatter

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9
Q

How do you find the turning point?

A

Use the axis of symmetry formula and sub that in as the x value to the original equation

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10
Q

Basic formula for a circle

A

x(2)+y(2)=r(2)

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11
Q

How big is the radius of x(2)+y(2)=9?

A
  1. The square root of 9
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12
Q

Difference between x(2)+y(2)=4 and (x-2)(2)+(y-3)(2)=4?

A

The centre of the circle moves to (2,3) but the radius stays the same, from that point

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13
Q

What is the square method?

A

x=-b+-square root(b(2)-4ac

All over 2a

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14
Q

What is the axis of symmetry formula?

A

-b/2a

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15
Q

2x(2)-3x-5 cuts the y intercept where?

A

-5 (it is also skinny)

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16
Q

What is a tangent?

A

When there is a parabola and a line that have one point of intersection

17
Q

What is a secant?

A

When there is a parabola and a line that have two points of intersection

18
Q

What can’t you forget when solving simultaneous equations?

A

To solve for x AND y

19
Q

What is the trinomial equation thing?

A

ax(2)+bx+c=0

20
Q

Sum and difference of two cubes +/- order?

A

Same, opposite, always positive

21
Q

Sum and diff of 2 cubes?

A

(Cube root of both)(square of first cube root, cubes roots x together, square of second cube root)