Graphs And Coordinates

Question 1

How do you find coordinates of midpoint of a line?

Answer 1

[ (x1 - x2) / 2 , (y1 - y2) / 2]

Question 2

How find gradient of line?
How find normal gradient?

Answer 2

Gradient = Δy / Δx
Normal gradient = -Δx / Δy

Question 3

Formula for equation of a line?

Answer 3

Y - y1 = m (x - x1)

Question 4

What is the discriminant?
What does its values tell us?

Answer 4

b^2 - 4ac

Greater than 0; 2 real roots
Less than 0; no real roots
Equal to 0; 1 repeated root

Question 5

What go reciprocal graphs look like?

Answer 5

Asymptotes with the coordinate axes

Question 6

Equation for a circle?

Answer 6

(x -a)^2 + (y - b) = r^2

Question 7

What is transformation f(x) + a?

Answer 7

Translation vector 0i + aj,

Question 8

Transformation f(x + a)?

Answer 8

Translation vector -ai + 0j

Question 9

Transformation a f(x)?

Answer 9

Stretch in y direction X a

Question 10

Transformation f(ax)

Answer 10

Stretch in x direction X 1/a

Question 11

Transformation -f(x)?

Answer 11

Reflection in x axis (y = 0)

Question 12

Transformation f(-x)

Answer 12

Reflection in y axis (x = 0)

Question 13

Transformation |f(x)|

Answer 13

Parts below x axis are reflected up in the x axis

Question 14

Transformation f(|x|)

Answer 14

Right of y axis reflects left in y axis