The graph of the function f(x)=x2 will be translated 3 units up and 1 unit left. What is the resulting function g(x)

When a function is translated, it means the function is moved from one point to another.

The resulting function  g(x) is:

Given that:

When the function is translated 3 units up, the rule is:

So, we have:

When the function is translated 1 unit left, the rule is:

So, we have:

Hence, the resulting function  g(x) is:

See attachment for the graphs of f(x) and g(x)

Read more about translations at:

link

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x