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pochemuha
3 years ago
14

the vertex of this parabola is at (2,-1). when the y-value is 0, the x-value is 5. what is the coefficient of the squared term i

n the parabolas equation

Mathematics
1 answer:
timama [110]3 years ago
3 0
We know that

case a)
the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.

Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1

Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1

the answer is
a=1/9


case b)
the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h, 
where (h, k) is the vertex.

Using our vertex, we have:
x=a(y+1)²+2, 
We know that the parabola goes through (5, 0),

so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2

the answer is
a=3

see the attached figure 

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\frac{4}{9}

Step-by-step explanation:

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We simply divide the first answer by the second one and get our probability.

So, the numbers are 5,6,7,8 ----- that is 4 numbers

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F (5^4)m = 512, what is the value of m? 2 3 5 8
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Answer:

questions is wrong??

Step-by-step explanation:

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Algebra help? ♡ (25 pts)
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Read 2 more answers
Drag steps in the given order to evaluate this expression. (−5)(2)−2(−3)+3 ( -5 )( 2 ) - 2 ( -3 ) + 3
Snowcat [4.5K]

(−5)(2)−2(−3)+3 ( -5 )( 2 ) - 2 ( -3 ) + 3

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Graph the equation (please hurry)
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<em>I</em><em> </em><em>have</em><em> </em><em>attached</em><em> </em><em>the</em><em> </em><em>graph</em><em>!</em><em> </em>

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

Here are some details about the equation and the graph!

Details of equation ⤵️

  • <u>The</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>written</u><u> </u><u>in</u><u> </u><u>slope-intercept</u><u> </u><u>form</u><u>.</u>
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  • <u>The</u><u> </u><u>y-intercept</u><u> </u><u>is</u><u> </u><u>1</u><u>.</u>

Details of graph ⤵️

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  • <u>Range</u><u> </u><u>=</u><u> </u><u>y</u><u>∈</u><u>R</u>
  • <u>Vertical</u><u> </u><u>intercept</u><u> </u><u>=</u><u> </u><u>(</u><u>0</u><u>,</u><u>1</u><u>)</u>

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