By observing the graph we can see that G(x) is obtained by shifting F(x) 2 units to the right.
A horizontal shift is indicated by addition/subtraction to x rather than the function.
A right shift is indicated by subtracting the number from x. So a right shift of F(x) will be indicated by F(x-2)
Thus,
G(x) = F(x-2)
G(x) = (x-2)²
So, the answer to this question is option B
Answer: x = 2
=============================================================
Explanation:
Refer to the diagram below.
I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).
Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)
Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.
The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.
----------------------
Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.
The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10
Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.
----------------------
Now let's solve for x
6x-10 = 3x-4
6x-3x = -4+10
3x = 6
x = 6/3
x = 2
Answer:
= this is that two expression two equal numbers
Angles in a triangle add up to 180 degrees.
All angles in an equilateral triangle have equal values
Both angle x and y equal 60 degrees.
Answer:
8x + 1/2 or 8x + 0.5
Step-by-step explanation:
-6x + 3 3/4 + 14x - 3.25
u can either convert the fraction to a decimal or convert the decimal into a fraction, i'm going to do the latter
-6x + 3 3/4 + 14x - 3 1/4
rearrange to make it easier, don't need to do this i'm just doing this for the sake of it
-6x + 14x + 3 3/4 - 3 1/4
8x + 2/4, simplify this
8x + 1/2
The decimal way if u want:
-6x + 3 3/4 + 14x - 3.25
-6x + 3.75 + 14x - 3.25
-6x + 14x + 3.75 - 3.25
8x + 0.5