Answer:
The focus of the parabola is at the point (0, 2)
Step-by-step explanation:
Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."
Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)
n=9 would be your answer. Hope I helped
Answer:
radius: DF (it is a line segment drawn from the center of the circle to any point on the circle)
diameter: AC ( it is a straight line passing through the center of the circle and intersecting the circle at two distinct points)
chord : AB ( it is a line segment joining any two points on the circle)
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial is x³- 7x² - 6x + 72.
<h3>What is a polynomial?</h3>
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
The polynomial using the given information can be made as shown below.
Given the zeros of the polynomial are -3, 4, and 6.
P(x) = (x+3)(x-4)(x-6) = x³- 7x² - 6x + 72
To check the end behaviour of the function, the graph of the function can be plotted as shown in the below image.
Hence, the polynomial is x³- 7x² - 6x + 72.
Learn more about Polynomials:
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The major advantage of exponential notation is that it simplifies a number into a more readable form, so we don't have to count all the zeros every time we look at it / calculate it. It helps us to identify big numbers as small decimals which we are more familiar with.
