The function y = lal is
Answers
Answer:
Kiteretsuki builds a robot to help him paint a fence. The robot has a paint roller of width 1 foot, that works like a ball-point pen, so it has a steady flow of ink. Kiteretsuki sets the robot to work and leaves but doesn't realize that the robot has a programming error.
It paints one foot of the fence from left to right, then stops and paints a foot in the right to left direction. It then starts moving from left to right again, but this time moving two feet instead of one. However, after this, it only moves back to its previous position. The robot carries on in this fashion, increasing its reach by 1 foot every left to right movement and then returning to its previous starting point.
If Kiteretsuki returns after the robot have moved a total of 11 times, how many inches of the fence has the robot painted in that time?
Answer:
The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.
LEARNING OBJECTIVES
Describe the parts and features of parabolas
KEY TAKEAWAYS
Key Points
The graph of a quadratic function is a U-shaped curve called a parabola.
The sign on the coefficient
a
of the quadratic function affects whether the graph opens up or down. If
a
<
0
, the graph makes a frown (opens down) and if
a
>
0
then the graph makes a smile (opens up).
The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.
The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.
Key Terms
vertex: The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.
axis of symmetry: A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.
zeros: In a given function, the values of
x
at which
y
=
0
, also called roots.