The graph of y = is translated right 1 unit and up 2 units. Which is an equation representing the new graph?
y = + 2
y = + 2
y = + 1
y = + 1
its B
The correct equation representing the new graph after translating right 1 unit and up 2 units is:
y = + 2
To figure out the equation that represents the new graph after the translation, we need to understand how translations affect the equation of a graph.
When a graph is translated right by "a" units, the equation is affected by replacing "x" with "(x - a)". Similarly, when a graph is translated up by "b" units, the equation is affected by replacing "y" with "(y - b)".
In this case, the given graph is being translated right by 1 unit and up by 2 units. So, to represent the new graph, we need to modify the original equation accordingly.
The original equation is y = f(x) (since the formula for the graph is not provided).
To translate right by 1 unit, we replace "x" with "(x - 1)". To translate up by 2 units, we replace "y" with "(y - 2)".
Hence, the equation representing the new graph is (y - 2) = f(x - 1). Therefore, the correct answer is y = f(x - 1) + 2.
don't be coy. Use a real independent variable. Let's say, x.
If the graph of y=x is transformed ads you say, then it becomes
y-2 = x-1
that is,
y = x+1
Looks like you should review the topic