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Ne4ueva [31]
4 years ago
5

A parabola has a vertex at (0, –1) and passes through the point (2, 2). Which of the following is the equation of this parabola

in the form
Mathematics
1 answer:
galben [10]4 years ago
5 0
For vertex at (h,k)
the equation is
y=a(x-h)^2+k

for vertex at (0,-1)
equation is
y=a(x-0)^2+(-1) or
y=ax^2-1
find what a is

(2,2)
x=2
y=2
2=a(2^2)-1
2=a(4)-1
add 1
3=a(4)
divide both sides by 4
3/4=a

the equation is
y=3/4x^2-1
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docker41 [41]

Answer:

-3.00000

Step-by-step explanation:

Slope = -6.000/2.000 = -3.000

 x-intercept = -3/3 = -1

 y-intercept = -3/1 = -3.00000

earrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(-3*x-3)=0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y+3x+3  = 0 and calculate its properties

7 0
3 years ago
A business printed 225 books on Friday. each book has 350 pages. How many pages did the business play on Friday?
egoroff_w [7]
78,750

225 * 350 = 78,750

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7 0
3 years ago
Read 2 more answers
Consider the line 7x+9y=5
alisha [4.7K]

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

Step-by-step explanation:

We know the slope-intercept form

y=mx+b

Here,

  • m is the slope
  • b is the y-intercept

Given the equation

7x+9y=5

simplifying to write in the lope-intercept form

y=-\frac{7}{9}x+\frac{5}{9}

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

  • We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

4 0
3 years ago
You are taking an exam and there are still many questions left to be solved. You already got 18 questions correct out of 25. The
UkoKoshka [18]

The answer is 2

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18 correct is a score of 72

20 correct is a score of 80

4x2=8 wich you need 8 more to get to 80 from 72

feel free to ask for more help :)

8 0
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Furkat [3]

Answer:

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Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.

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