What are the new vertices of triangle  fgh  if the triangle is translated three units to the right?  
            a.  f′ = (–2,–3),  g′ = (0,4),  h′ = (4,–6)    b.  f′ = (–2,–2),  g′ = (0,5),  h′ = (4,–5)    c.  f′ = (–5,–5),  g′ = (–3,3),  h′ = (1,–8)    d.  f′ = (–1,–2),  g′ = (1,5),  h′ = (5,–5)

G'(0,5)

H'(4,-5)

F'(-2,-2)

Step-by-step explanation:

We need to identify the three vertices from the figure on the graph:

G(-3,5)

H(1,-5)

F(-5,-2).

If we translate these points 3 units to right, then that effects the x-coordinates.

So 3 more than -3, is 0.

3 more than 1 is 4.

3 more than -5 is -2.

So the new points are:

G'(0,5)

H'(4,-5)

F'(-2,-2).

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1