Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent variable.)Vertex: (−3, 4); point: (0, 13)
Answers
The standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point is;
y = x² + 6x + 13
We are given;
Vertex coordinate; (-3, 4)
A point on the graph; (0, 13)
The vertex form of a quadratic equation is given by;
y = a(x - h)² + k
Where h, k are the coordinates of the vertex.
a is the letter in general form of quadratic equation which is;
y = ax² + bx + c
Thus, at point (0, 13) at the vertex of (-3, 4), we have;
13 = a(0 - (-3))² + 4
⇒ 13 - 4 = 9a
9a = 9
a = 9/9
a = 1
Since y = a(x - h)² + k is the vertex form, let us put the vertex values for h and k as well as the value of a to get the quadratic equation;
y = 1(x - (-3))² + 4
y = x² + 6x + 9 + 4
y = x² + 6x + 13
Read more at; brainly.com/question/17546421
Answer:
The formula for this quadratic function is x*2 +6x+13
Step-by-step explanation:
If we have the vertex and one point of a parabola it is possible to find the quadratic function by the use of this
y= a (x-h)*2 + K
Quadratic function looks like this
y= ax*2 + bx + c
So let's find the a
y= a (x-h)*2 + K where
y is 13, x is 0, h is -3 and K is 4
13= a (0-(-3))*2 +4
13=9a +4
9=9a
9/9=a
1=a
The quadratic function will be
y= 1(x+3)*2 + 4
Let's get the classic form
(x+3)*2 = (x+3)(x+3)
(x*2+3x+3x+9)
x*2 +6x+13
f(0) = 13
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Answer:
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Answer
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
hope this helps
Answer:
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b) 8
Step-by-step explanation:
a) as it says in the question, each box contains 64 stickers. Mrs Kim bought 4 boxes , so she has 4 times more than a single box (64 stickers)
The calculation is simple: 64 x 4, which equals 256
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Answers
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Step-by-step explanation:
Given:
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Average of Gilbert in last 5 test
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Step-by-step explanation:
Answers
Answer:
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Step-by-step explanation:
So, the height of the ball can be modeled by the function:
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Notice that our function is a quadratic.
Therefore, the maximum height will occur at the vertex of our function.
The vertex of a quadratic function in standard form is given by the formula:
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Find the x-coordinate of the vertex:
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Notes:
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