Question

Can someone draw the translation function of this graph showing the transformation points that are plotted?

Here is the graph: y = f(x)

Translate the graph to this function: y = f(x) + 5

Answer 1

lets say f(x)=x
then y=x+5

Answer 2

Hi stgreen! The line that needs to be transformed is plotted at (-1.-2) so I think that I am supposed to draw it 5 points up from the original line.

Answer 3

what you mean by 'plotted at (-1,-2)'?a line is always formed by atleast two points..can you show me the plot?

Answer 4

The line starts at the top of y and has like a wiggly curve, I can't draw so I cannot re-create it but the point are shown in the center (-1,-2) written on the graph.

Answer 5

use prnt scrn button to take a snapshot..paste in paint..save and attach please

Answer 6

Here is the graph. Thank you for the suggestion

Answer 7

y = f(x) + 5 will Shift the graph of y=f(x) upward 5 units.

Answer 8

which means the curve will pass through (-1,5-2)=(-1,3)

Answer 9

got it?

Answer 10

Are you able to draw it?

Answer 11

sowie my drawing sucks

Answer 12

Thank you! Your drawing is good enough to give me an idea! Here is your medal!

Answer 13

well this may help if you have more questions on translation topic:
Y=f(x)+a --> vertical shift a units
Y=: f(x+a) --> horizontal shift -a units
f(ax) --> horizontal shrink (or stretch if |a|<1) by a units (divide the x's by a)
a•f(x) --> vertical stretch (or shrink if |a|<1) by a factor of a
f(-x) --> reflect over the y-axis
-f(x) --> reflect over the x-axis

Answer 14

This is great! Thank you, I will copy and paste it into my notes!