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EastWind [94]
3 years ago
11

Please someone help

Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

a. opens: upward

b. a.o.s.: x = 1

c. vertex: (1, -4)

d. x-intercepts: (-1, 0), (3, 0); y-intercept: (0, -3)

Step-by-step explanation:

<h3><u>A:</u></h3>

By looking at the graph, we can see that the parabola opens upward. This means that its a-value is positive.

<h3><u>B:</u></h3>

The axis of symmetry is the line that passes exactly through the center of the parabola. It always starts with x = __, because it is a vertical line.

The center of this parabola is at the x-value of 1, so we can say that the equation of the axis of symmetry is x = 1.

<h3><u>C:</u></h3>

The vertex is at the highest or lowest point of the parabola, also known as the maximum or minimum point. Since this graph opens up, the vertex is at the minimum point.

Look at the graph and find the point where the parabola opens upwards. This point is at the x-value of 1 and the y-value of -4, so the vertex of the parabola is at (1, -4).

<h3><u>D:</u></h3>

Again, look at the graph provided to find the x and y-intercepts. On the x-axis, the parabola crosses through at the x-values of -1 and 3, so the x-intercepts are (-1, 0) and (3, 0).

The parabola crosses the y-axis at the y-value of -3, so the y-intercept of the parabola is (0, -3).

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The completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

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Let the factor form of the polynomial is f(p). Thus,

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Using the formula of difference of squares, we get,

f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)

Thus, the completely factored form of the provided polynomial is  (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

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gtnhenbr [62]

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The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
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Step-by-step explanation:

<u>Given function:</u>

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Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

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<u>Vertex of the given function is:</u>

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irinina [24]

<u>Answer:</u>

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<u>Step-by-step explanation:</u>

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