The two functions are
y= f(x), ------------(1)
g(x)= f(x+2)---------(2)
⇒Consider a point (a,b) on the curve.It will satisfy (1).
b = f(a)
Now the point a is translated by 2 units right in horizontal direction and there is no vertical shift.
Coordinate of new point = (a+2,b)
Putting the value of new coordinate in equation (1), we get
b = f(a+2)
which gives equation (2), which is
g(x)= f(x+2)
Option (3) is correct,which is, the graph of g(x) is graph of f(x) translated 2 units right.
Step-by-step explanation:
Adhala mudiyadhu kelambu vandhutha eva
Answer:
x = 3√2 units.
Step-by-step explanation:
Let Δ ABC is a right triangle with ∠ ABC = 90°.
We draw an altitude from B on AC at point D and AD = CD = 3 units.
We have to find x.
Now, BD is the perpendicular bisector of side AC and hence, Δ ABC is a right isosceles triangle.
So, AB = BC = x
And AC = 3 + 3 = 6 units.
So, applying Pythagoras Theorem, AB² + BC² = AC²
⇒ x² + x² = 6²
⇒ 2x² = 36
⇒ x² = 18
⇒ x = 3√2 units. (Answer)