Answer:
First option: The slope is negative for both functions.
Fourth option: The graph and the equation expressed are equivalent functions.
Step-by-step explanation:
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The missing graph is attached.</h3><h3>
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The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the equation:
We can identify that:
Notice that the slope is negative.
We can observe in the graph that y-intercept of the other linear function is:
Then, we can substitute this y-intercept and the coordinates of a point on that line, into and solve for "m".
Choosing the point 
, we get:
Notice that the slope is negative.
Therefore, since the lines have the same slope and the same y-intercept, we can conclude that they are equivalent.
You could complete the square to state the vertex.
You could use the quadratic equation to find the roots (which are complex).
Try an example that will require both.
y = x^2 + 2x + 5
Step One
Get the graph. That's included below.
Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)
y= (x^2 +2x ) + 5
y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4
The vertex is at (-1,4)
Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.
a = 1
b = 2
c = 5
x = -1 +/- 2i
x1 = -1 + 2i
x2 = -1 - 2i And we are done.
Answer:
-17
Step-by-step explanation:
You subtract $45 from $28 and get a negative number
Here. This is the graph you wanted. The underside is shaded by the way.
