Answer:
the parabola can be written as:
f(x) = y = a*x^2 + b*x + c
first step.
find the vertex at:
x = -b/2a
the vertex will be the point (-b/2a, f(-b/2a))
now, if a is positive, then the arms of the parabola go up, if a is negative, the arms of the parabola go down.
The next step is to see if we have real roots by using the Bhaskara's equation:

Now, draw the vertex, after that draw the values of the roots in the x-axis, and now conect the points with the general draw of the parabola.
If you do not have any real roots, you can feed into the parabola some different values of x around the vertex
for example at:
x = (-b/2a) + 1 and x = (-b/2a) - 1
those two values should give the same value of y, and now you can connect the vertex with those two points.
If you want a more exact drawing, you can add more points (like x = (-b/2a) + 3 and x = (-b/2a) - 3) and connect them, as more points you add, the best sketch you will have.
Answer:
y=1/2x-4
Step-by-step explanation:
You are given the slope, 1/2. So you can plug it into the equation (y=mx+b)
You also need to plug in the x and y coordinate your given so you'll have
-3=1/2(2)+b. Then you solve for b, which is -4. You now have your answer, y=1/2x-4.
The ratios are equivalent because you multiplied 18:4 by 2&3. And also you divided it by 2. I had the same homework!
You answer should be 8 and 11 maybe I don't know
Answer:
Gene ran faster
Step-by-step explanation:
The fastest time is the smallest time since they ran the same distance
gene ran 90 meters in 16.3 seconds.
alma ran 90 meters in 17.2 seconds
16.3 < 17.2
Gene ran faster