Precalculus Problem Set 2 PDF

Precalculus (STEM 11.2) Q1. 2nd Problem Set GENERAL INSTRUCTION. Answer the following problems in Long Bond Paper and show your complete solution including the formula used in the problem. I. A. In each item, determine the standard equation of the circle satisfying the given conditions. 1....

Precalculus (STEM 11.2) Q1. 2nd Problem Set GENERAL INSTRUCTION. Answer the following problems in Long Bond Paper and show your complete solution including the formula used in the problem. I. A. In each item, determine the standard equation of the circle satisfying the given conditions. 1. center at the origin, radius of 4. 2. center (−4, 3), radius [\$\\sqrt{7}\$]{.math.inline}. 3. circle A in Figure 4. 4. circle B in Figure 4. 5. center (-1,-2) and passes through P( 5, 2). 6. center (5,−6), tangent to y-axis. 7. center (5,−6), tangent to the x-axis. 8. Determine the standard equation of the given general equation of the circle. [16*x*^2^ + 16*y*^2^ + 96*x* − 40*y* − 315]{.math.inline}. 9. The equation of the circle is expressed as [*x*^2^ + *y*^2^ − 5*x* + 4*y* = 46]{.math.inline}. Reduced its equation into its standard form and sketch its graph. 10. Circle A is concentric with Circle B having an equation of [*x*^2^ + *y*^2^ − 8*x* − 10*y* + 16 = 0]{.math.inline}. Its area is 4 times the area of Circle B. Find the standard equation of circle A. II. A. Determine the equation of the parabola with the following graph.  B. Determine the focus, directrix and axis of symmetry of the parabola [*x*^2^ = 12*y*]{.math.inline}. C. The figure shows the parabola graph, with only its focus and vertex indicated. Find its standard equation. What is its directrix and its axis of symmetry? D. Determine the vertex, focus, directrix, and axis of symmetry of the parabola [*y*^2^ − 5*x* + 12*y* − 16]{.math.inline}. Sketch the parabola, and include these points and lines.