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gladu [14]
2 years ago
7

HELP PLEASE! Write a quadratic function that passes through the point (-1,9), has an axis of symmetry of x=-3 and a minimum valu

e of 7.
Mathematics
1 answer:
xxTIMURxx [149]2 years ago
7 0

Answer:

y = \frac{1}{2}x^{2} - 3x + 11.5

Step-by-step explanation:

Vertex form of a quadratic equation;

y = a( x - h )^{2} + k

Vertex of the parabolas (h, k)

The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

y = a ( x + 3 ) ^{2} + 7

Now substitute in the given point; ( -1, 9) and solve for a;

9 = a( (-1 ) + 3)^2 + 7\\9 = a (2)^{2} + 7\\9 = 4a + 7\\-7           -7\\2 = 4a\\\frac{1}{2} = a\\

Hence the equation in vertex form is;

y = \frac{1}{2}(x - 3)^{2} + 7

In standard form it is;

y = \frac{1}{2}x^{2} - 3x + 11.5

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TiliK225 [7]

Answer:

c = \frac{2A}{b} - d

Step-by-step explanation:

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marshall27 [118]

Answer:

a)  -2x^2+5xy

b)  -3y^2+5xy

Step-by-step explanation:

<u>Part (a)</u>

Given polynomial  :2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable x is:

-2x^2+5xy

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<u>Part (b)</u>

Given polynomial  :2x^2+3y^2-5xy+1

The binomial that should be added to the given polynomial to get a polynomial that does not contain the variable y is:

-3y^2+5xy

(2x^2+3y^2-5xy+1)+(-3y^2+5xy)

=2x^2+3y^2-5xy+1-3y^2+5xy

=2x^2+3y^2-3y^2-5xy+5xy+1

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Answer:

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Step-by-step explanation:

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(x)^2 sqrt 2 = -5/2 sqrt 2

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3 years ago
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