Are the graphs of the lines in the pair parallel? Explain.
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With the information given, we deduce that the parabola is
Reflecting a function over the x axis means to change its sign. After the reflection, the parabola becomes
And to shift down a function, you subtract the shift from the equation: the equation becomes
Similarly, the other function is reflected over the x axis (sign change) and shifted up 3 (add 3 to the equation):
In order to compute the y intercept, we simply have to evaluate the functions at x=0: for the parabola we have
For the other function, we have
To find graph this, you need to understand the equation.
The formula is y=mx+b, m being slope and b being y-intercept.
We start out graphing by finding where the y-intercept is--and we see that our intercept is 2. Place a point on (0, 2).
Now, we need to add our slope. Start at (0, 2) and go up 4 units. Next go to the LEFT (we have a negative slope, remember?). Continue this pattern.
It should look like this once it's done:
