Graphs and Coordinates Flashcards

1
Q

How do we find the midpoint on a graph?

A
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2
Q

How do we find the gradient of a graph?

A

dy/dx

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3
Q

How do we know if two gradients are perpendicular?

A

They multiply to get -1

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4
Q

What is the equation of a line?

A
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5
Q

What is the discriminant?

A
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6
Q

What does it mean when the discriminant is > 0?

A

The graph has 2 real roots

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7
Q

What does it mean when the discriminant is = 0?

A

The graph has 1 real root

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8
Q

What does it mean when the discriminant is < 0?

A

The graph has no real roots

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9
Q

What does this graph look like?

A
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10
Q

What does this graph look like?

A
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11
Q

What does this graph look like?

A
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12
Q

What does this graph look like?

A
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13
Q

What is the equation of a circle?

A
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14
Q

What does the sine graph look like?

A
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15
Q

What does the cosine graph look like?

A
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16
Q

What does the tan graph look like?

A
17
Q

How would we transform this graph?

A
18
Q

How would we transform this graph?

A
19
Q

How would we transform this graph?

A

It would stretch in the y direction by a scale factor of a.

20
Q

How would we transform this graph?

A

It would stretch in the x direction by a scale factor of 1/a.

21
Q

How would we transform this graph?

A

Flip it over the x axis

22
Q

How would we transform this graph?

A

Flip it over the y axis

23
Q

How would we transform this graph?

A

Anything below the x-axis goes up

24
Q

How would we transform this graph?

A

Anything right of the y axis goes up