You don’t have to answer all just help. please
1 answer:
Answer:
Step-by-step explanation:
a.) When you have the following equation To find the vertex you take the h value, change its sign (to positive in this case) and that will give you the x value. To find the y-value just take the z. This gives us (15,-100)
b.) The axis of symmetry is just the x value of the vertex which is 15
c.) I'm not too sure what this means but can tell you that it's concave up because there's no way x can be negative
d.)Because the a value is positive that means that the graph is concave up which means that it has a minimum. The minimum is just the y value of the vertex which is just -100
e.) I'm going to write this in interval notation. The domain is all the possible x values of the graph which is all real numbers or (-∞,∞). The range is all the possible y values. We know that the minimum is -100 which means all the possible y values are [-100,∞)
f.) This is obviously a parabola and because the graph is concave up and has a negative minimum there must be 2 x intercepts.
You might be interested in
Consider rectangular box with
- length x units (x≥0);
- width 3 units;
- height (8-x) units (8-x≥0, then x≤8).
The volume of the rectangular box can be calculated as
In your case,
Note that maximal possible value of the height can be 8 units (when x=0 - minimal possible length) and the minimal possible height can be 0 units (when x=8 - maximal possible length).
From the attached graph you can see that the greatest x-intercept is x=8, then the height will be minimal and lenght will be maximal.
Then the volume will be V=0 (minimal).
Answer: correct choices are B (the maximum possible length), C (the minimum possible height)
