viii please answer all with complete solutions and clear writing please Provide concise explanations for your answers to the following.1. The r-coordinates of the vertex and the focus of a parabola are the same, but the y-coordinate of the vertex is greater than that of the focus. Does this parabola open to theleft, to the right, upward, or downward?2. Explain why the set {(-2,1), (–V2,0), (V2,0), (2, –1)} represents a function that is oddand not one-to-one.3. Suppose f is a polynomial function of degree 7 whose graph has exactly four distinct r-intercepts and whose complex zeros are not all real. Among the complex zeros of f, howmany are imaginary?4. Find the value(s) of the real number k such that a - 3 is a factor of k² + 2ka – 6k + 15.

As per the company guidelines we can solve first question. I hope that the given solution will help…

1. The r-coordinates of the vertex and the focus of a parabola are the same, but the y- coordinate of the vertex is greater than that of the focus. Does this parabola open to the left, to the right, upward, or downward?

1. The r-coordinates of the vertex and the focus of a parabola are the same, but the y- coordinate of the vertex is greater than that of the focus. Does this parabola open to the left, to the right, upward, or downward?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 44E: By definition, a hyperbola is the locus of points whose positive difference of distances from two...

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Question

viii

please answer all with complete solutions and clear writing please

Provide concise explanations for your answers to the following.
1. The r-coordinates of the vertex and the focus of a parabola are the same, but the y-
coordinate of the vertex is greater than that of the focus. Does this parabola open to the
left, to the right, upward, or downward?
2. Explain why the set {(-2,1), (–V2,0), (V2,0), (2, –1)} represents a function that is odd
and not one-to-one.
3. Suppose f is a polynomial function of degree 7 whose graph has exactly four distinct r-
intercepts and whose complex zeros are not all real. Among the complex zeros of f, how
many are imaginary?
4. Find the value(s) of the real number k such that a - 3 is a factor of k² + 2ka – 6k + 15.

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