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:
(-6,5)
Step-by-step explanation:
we have
y=f(x) ----> the parent function
y=1/2f(x) ---> the new y-value will be 1/2 times the original value
The rule of the transformation of f(x) to 1/2f(x) is
(x,y) -----> (x,y/2)
substitute the given value
(-6,10) ------> (-6,10/2)
(-6,10) ------> (-6,5)
Based on the model, 28.6 is the estimated increase, in inches, of a boy’s height each year.
Answer:
the second one
Step-by-step explanation:
trust me i've done this before