M - Pure 1 - 4) Graphs and transformations

Question 1

Coordinate of the point where the graph crosses or touches the x-axis, if p is a root of the function?

Answer 1

(p, 0) MAYBE DELETE THIS?!

Question 2

Locations of the asymptotes on the graphs of y = k/x and y = k/x²

Answer 2

x = 0 and y = 0

Question 3

Quadrants used on the graphs of y = k/x | y = -k/x | y = k/x² | y = -k/x²

Answer 3

• y = k/x → TR and BL
• y = -k/x → TL and BR
• y = k/x² → TL and TR
• y = -k/x² → BL and BR

Question 4

Method to find the x-coordinate(s) at the points of intersection of two functions on a graph?

Answer 4

Find the solution to f(x) = g(x)

Question 5

Transformation of y = f(x + a)

Answer 5

Translation of (^-a₀)

Question 6

Transformation of y = f(x) + a

Answer 6

Translation of (⁰_a)

Question 7

Something else translated when a function is translated

Answer 7

Any asymptotes

Question 8

Transformation of y = f(ax)

Answer 8

Stretch by scale factor 1/a horizontally

Question 9

Transformation of y = af(x)

Answer 9

Stretch by scale factor a vertically

Question 10

Transformation of y = -f(x)

Answer 10

Reflection in the x-axis

Question 11

Transformation of y = f(-x)

Answer 11

Reflection in the y-axis