Answered: P(x)=x2+4x+8 Find the x coordinate of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Could you help me with the following math questions please. 1. P(x)=x2+4x+8 Find the x coordinate of the vertex please and breakdown the steps. *the 2 that is beside the x is squared* 2. P(x)=2x2-10x+10 Find the x coordinate of the vertex please. *The 2 besides the 2x is squared* 3. Y=x2-4x+3 Determine the equation of the axis of symmetry please. *the 2 besides the x is squared* 4. Consider these two parabolas, labeled P1 and P2 P1: y=x2+10x+4 P2: y=x2-10x+4 Determine the coordinates of the vertex for each parabola please. *the 2 besides both x’s is squared* 5. The height h, in meters, reached by a ball thrown in the air after t seconds is given by the equation h=8t-t2. Fill in the following table of values for h=8t-t2. *the 2 beside the t is squared* All the blank numbers please. t h 1 2 12 3 4 16 5 6 7 8 0 9 10 -20 6. When an object is thrown into the air, it’s height above the ground is given by the equation h= 193+ 26s-s2, where s is its horizontal distance from where it was thrown. Solve for s, how far horizontally the object is from where it was thrown at the point when it reaches its greatest height above the ground. *the 2 beside the s is squared* 7. The height at time t of a ball thrown upwards is given by the equation h=47+56t-7t2. *the 2 beside 7t is squared* How long does it take the ball to reach its maximum height? Write each line as an equation please. 8. Consider the parabola defined by equation y=4(x-1)2+3. Write down the coordinates of the vertex please. *The 2 beside (x-1) is squared* 9. A vertical parabola has an x-intercept at (-1,0) and a vertex at (3,6). Does the parabola have another x-intercept? 10. Consider the function y= 4x2-24x+41. Convert the equation into vertex form please. *The 2 beside the 4x is squared*

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