The new equation is given by adding <em>7</em> to the original equation.
Response:
- The new equation is; <u>f(x) = x + 7</u>
<h3>Which methods can be used to find the new equation?</h3>
The given function is f(x) = x
The value by which the graph is shifted up = 7
Required:
The new equation of the graph.
Solution:
The equation, f(x) = x is an equation for a straight line
f(x) = m·x + c
Where;
c = The y-intercept = 0
m = The slope where in the given equation, m = 1
By comparing with the general equation for a straight line, f(x) = mx + c to
the given equation, we have;
The y-intercept, c = 0
When the graph is shifted up 7 units, we have;
c = 0 + 7 = 7
The slope will remain the same, m = 1
The new equation is therefore;
f(x) = 1·x + 7
Which gives;
Learn more about the equation of a straight line here:
brainly.com/question/4090732