I am really struggling with these question and have been stuck with them for a while.

Question 1 has 3 parts: part a, b, c. They are all named in attachments as question 1 part a, question 1 part b, and question 1 part c

So you also do not get lost, please look at the names. They are connected to each other logically.

Question 2 is not related to question 1.

Thanks in advance!

This Question: 1 pt 6 of 6 (3 complete) Consider the following equation of a quadric surface. x =9 -y2 - 972 a. Find the intercepts with the three coordinate axes, if they exist. 6. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface. a. Find the x-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The x-intercept(s) is/are located at x = (Use a comma to separate answers as needed.) O B. There is no x-intercept. Find the y-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The y-intercept(s) is/are located at y = (Use a comma to separate answers as needed.) O B. There is no y-intercept. Find the z-intercepts, if they exist. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The z-intercept(s) is/are located at z = (Use a comma to separate answers as needed.) O B. There is no z-intercept. b. Find the equation of the xy-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Click to select your answer. Type here to search a 9 WThis Question: 1 pt 1 6 of6(3 complete)v b Consider the following equation of a quadrrc surface. x = 9* y2 7 922 a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy, x27, and yzetraces, if they exist. c. Sketch a graph of the surface Find the equation olthe yz-trace, if it eXIStS Select the correct choice he ow and, rf necessary, ll in the answer hex to complete your choice. The trace is not a single point The equation of the yzitrace is (Type an equation.) OA. O B. The trace is a single point O c_ There is no yzitrace. G. Choose the correct graph below. on. Click to select your answer. ,0 Type here to search This Question: 1 pt E 3 of6 (3 complete)v ) Determine lf the following planes are parallel, orthogonal, or neither parallel nor orthogonal. 4x+2y+22:30 and 74X*2y+ 102:30 Choose the correct answer below 0 The planes are orthogonal, O The planes are parallel, O The planes are neither parallel nor orthogonal Click to select your answer. a ,0 Type hereto search This Question: 1 pt 6 of 6 (3 complete) Consider the following equation of a quadric surface. x =9 -y2 - 972 a. Find the intercepts with the three coordinate axes, if they exist. b. Find the equations of the xy-, xz-, and yz-traces, if they exist. c. Sketch a graph of the surface. b. Find the equation of the xy-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The trace is not a single point. The equation of the xy-trace is (Type an equation.) O B. The trace is a single point ( O c. There is no xy-trace. Find the equation of the xz-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The trace is not a single point. The equation of the xz-trace is (Type an equation.) O B. The trace is a single point () O C. There is no xz-trace Find the equation of the yz-trace, if it exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The trace is not a single point. The equation of the yz-trace is (Type an equation.) Click to select your answer. Type here to search $3 a N &A 9 2 W