Y int, is when x=0,
y=0
(0,0)
G(x) can be obtained from F(x) by shifting F(x) 4 units to the right and 1 unit upwards.
Shift towards right can be obtained by subtracting 4 from the x in the function and the upward shift can be obtained by adding 1 to the function.
So,
G(x) = F(x-4) + 1
Thus,
G(x) = (x-4)² + 1
So, the correct answer to this question is option B
Answer:
Statements: Reason:
ΔABC is congruent to ΔDEF : Given
Angle ACB is congruent to angle ECG : Vertical angles
Angle CEG is congruent to angle DEF : Vertical angles
Angle DEF is congruent to angle ABC : Definition of congruent triangles
Angle CEG is congruent to angle ABC : Substitution property of equality
ΔABC is similar to Δ GEC : AA Similarity
The original messy expression:
2x + 3 + 5x + 6
Add up all the x's: 2x + 5x = 7x
Add up all the plain numbers: 3 + 6 = 9
Re-write the expression: 7x + 9