![helo55](/avatars/20128.jpg)
helo55
15.03.2020 •
Mathematics
50 points!!
The team wants to explore how it can change the steepness of the curved pit.
Identify how the graph of each equation compares with the graph of the parent quadratic equation, y = x^2.
Drag the equations to the correct location on the chart. Not all equations will be used.
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Ответ:
Step-by-step explanation:
The graph of y = ax^2 + bx + c
A nonlinear function that can be written on the standard form
ax2+bx+c,wherea≠0
is called a quadratic function.
All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is
y=x2
picture51
The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate
x=−b2a
The y-coordinate of the vertex is the maximum or minimum value of the function.
a > 0 parabola opens up minimum value
picture52
a < 0 parabola opens down maximum value
picture53
A rule of thumb reminds us that when we have a positive symbol before x2 we get a happy expression on the graph and a negative symbol renders a sad expression.
The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
x=−b2a
The y-intercept of the equation is c.
picture54
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.
Example
Graph
x=x2+2x+1
Make a table of value for some values of x. Use both positive and negative values!
xy = x2 + 2x + 1
-34
-21
-10
01
14
29
316
Graph the points and draw a smooth line through the points and extend it in both directions
picture55
Notice that we have a minimum point which was indicated by a positive a value (a = 1). The vertex has the coordinates (-1, 0) which is what you will get if you use the formula for the x-coordinate of the vertex
x=−b2a=−22⋅1=−1
and that the line has an y-intercept of (0, 1) which could have been determined from the c-value which is 1.
If you have an absolute value of a that is greater than 1 the parabola will be narrower than the parental quadratic function. And the opposite that if you have a absolute value of a that is less than 1 then the parabola will be wider than the parental quadratic function.
Ответ:
If you have an absolute value of a that is greater than 1 the parabola will be narrower than the parental quadratic function. And the opposite that if you have a absolute value of a that is less than 1 then the parabola will be wider than the parental quadratic function.
Ответ:
Since they're asking for meters per second, multiply 60 seconds by 2 minutes:
60 * 2 = 120
Now add that to 56.35 (the amount of seconds we already know):
120 + 56.35 = 176.35
So, now that we know how many seconds they ran in total, divide the distance (1600) by the time (176.35):
1600/176.35 = 9.072866...
Round 9.072866... to the nearest hundredth, which is 9.07. And there's you're answer! They ran about 9.07 meters per second :)