Question

The graph of y= 3x-2 is translated up 5 units. What is the new equation of the graph.

Answer 1

Answer:

y = 3x + 3

Step-by-step explanation:

If the entire line, or rather, the graph, is translated upwards by 5 units; the slope stays the same, but the y-intercept rises by 5 as well. Thus, the equation of the new graph would be;

y = 3x (-2+5)

y = 3x + 3

Answer 2

Answer:

y = 3x + 3

Explanation:

Let's say you put a point or line on a graph at (2, 3) with 2 being the x-axis, and y being the y-axis, when you translate it left or right, you would move the point or line left or right, which changes the x-axis. If you move it to the right, you would increase the x value, and decrease it if you move it to the right. This is the same thing for going up and down. moving it up increases the y value, and moving it down decreases the y value.

When you place an equation on a graph, y is the result or point on the line when x equals a certain number. If x equaled 3, then the equation would be, y = (3 * 3) - 2. Which would be 9-2 = 7.

The 3x is the slope of the line, for every 1 unit to the right, the line would go 3 units up. the -2 is the intersection of the line through the y axis. so in this equation, the intersection would be -2.

To find the new equation, you would take the first equation, y = 3x - 2, then when you translate it up, you would increase the y intersect of the line by however much you need to, which would be 5. so you would just add 5 to the -2 to get the new equation. So now the new equation you have is y = 3x +3.