Question

The graph of y = f(x) is the solid black graph below. Which function represents the

dotted graph?
Submit Answer
O y = f(x + 3) - 5
O y = f(x - 3) - 5
O y = f(x - 3) + 5
O y = f(x + 3) + 5

Answer 1

Answer:First option, y=f(x+3)+5

Step-by-step explanation:

analyse the transformation first

• From the dotted function, when compared to the solid black line, is moved 3 units to the left, and moved upwards by 5 units

Input transformation

• In graphing, when a value is shifted horizontally, its transformation is equal to: -(x2-x1), and in this instance, we end up with a value of +3
• so, f(x+3) is the first component
• When a function is shifted horizontally, it is proportiante to the distance it moves, so (y2-y1)
• in this instance, it is 0 - -5=5
• so the transformation vertically is +5

Final answer, when all values are added is y=f(x+3)+5