A.) Parallel lines has equal slopes, hence slope of required equation = slope of y = 2x - 4 = 2
required equation is y - y1 = m(x - x1)
y - 7 = 2(x - 4)
y - 7 = 2x - 8
y = 2x - 8 + 7
y = 2x - 1
Answer:
Given equation: 
The function is a <u>quadratic function</u> in <u>vertex form</u>: 
<u>Translations</u>
For 




Parent function:
<u>Translations</u>
Translated 1 unit left: 
Then translated 2 units down: 
Therefore, translate the parent function by <u>1 unit left</u> and <u>2 units down</u> to produce the given equation.
<span>|5x + 10| = 10.............</span>
Line y = 4/9 x - 2 has a slope of 4/9.
For perpendicular lines, the ploduct of the two slopes is -1. Thus the slope of the required line is -1/(4/9) = -9/4
Equation of a line is given by y - y1 = m(x - x1)
y - 3 = -9/4(x - 4)
y - 3 = -9/4 x + 9
y = -9/4 x + 9 + 3
y = -9/4 x + 12.