Answer: g(x) = 4x² + 4
Step-by-step explanation:
Vertically translating a graph is one and the same as shifting the base graph (every plotted point in the graph) up or down in the direction of the y-axis. Any translation say "q" moves the graph upward when "q" is a postive value and downward when "q" is negative value.
Therefore, a graph of f(x) translated 7 units vertically is gotten by moving each point on the graph 7 units vertically upwards. And so,
Give that f(x) = 4x² - 3
And the function f(x) is translated vertically upwards by 7 units to give function g(x), it then means that:
g(x) = f(x) + 7
g(x) = 4x² - 3 + 7
g(x) = 4x² + 4
