How do the graphs of the functions y = f(x) and y = f(–x) relate when
f(x) = x2 ?
a. the graphs reflect each other.
b. the second graph is a horizontal shift of the first graph by x units.
c. the graphs are identical.
d. the second graph is a vertical shift of the first graph by x units.
30. write the equation of the function g(x) that translates the parent function
f(x) = x² by shifting g(x) 7 units to the left and 5 units down.
a. g(x) = (x - 7)² - 5
b. g(x) = (x + 7)² - 5
c. g(x) = (x - 5)² - 7
d. g(x) = (x + 5)² - 7

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

can you put the picture up?

step-by-step explanation: