Identify and sketch the graph of the following equations in R³ (a) x² + 2y² +2². 8x + 12y2z + 35= 0 (b) z = = 1- e y² (c) = 1. Show the traces as well. 9 4

Q: Given the quadratic equation y=x² + 4x-5 a. Write the equation in the form a(x + h)²+k b. Determine…

A: The given equation y=x2+4x-5. We have to write the equation into vertex form and find its…

Q: Consider the equations 4x + 2y = 10 and x - y = 13. Select the point where the graphs of these two…

A: See this solution in below.

Q: 15. Find the g-intercept of the equation y = (2 – 5)? + 2. O (0, -5) (0, 27) O (0, -3) O (0, 2) O…

A:

Q: 2. Write the given equation below in standard form. 4x2 + 3y + 6y = 9 (y+1)? =D1 *+ (y+1)? = 1…

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Q: 6. The equation that best matches the graph shown below is: 0 a. y = 4x -5 -10- 0 (0,4) (1, 2) b. y…

A: The graph of the equation is

Q: 8. Which of the following functions represents the vertex form of y = x? - 12x – 18? a. y = (x - 6)2…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: what is the axis of symmetry y = x2 − 2x − 8

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Q: What would be the new equation of y = (x + 4) – 7 if it underwent the following transformations: 1.…

A:

Q: Let y1 = 4x – 3 and y2 = 5x + 2. Find the point of intersection for the graphs of y, and y2. (х, у)…

A: Given: Equation of two lines as,y1=4x-3y2=5x+2

Q: The surface of a mountain is modeled by the equation h(x, y) = 7500 – 0.001x2 - 0.004y2. A mountain…

A: Given the surface of a mountain is modeled by the equation h(x,y)=7500−0.001x2−0.004y2

Q: Determine the y-intercept of the following equation. (x + 4)(x + 2) = y O (-4, 0) and (-2,0) O (4,…

A: Given equation, (x+4)(x+2) = y

Q: he x-intercepts of the graph of y=x-11x+ 18. 9 C. -3, -5

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Q: Match the graphs to their equations (y- 3) (x – 1) = 1 4 (y + 3)? (x – 1)? = 1 4 4 -2- (z – 1)? (y –…

A: Answer:   1).  option C   2).  option A   3).  option B

Q: solve the following equations below?

A: 11. subtract 2x2-9 from 5x2+x+912. y=-x2+2x-4

Q: 6. Graph the equation x² + y? – 4x + 8y – 5 = 0.

A:

Q: (b). Show the traces and intercepts of x² +y +z² +3z+2=0

A: The equation of the sphere is defined by   x-x02+y-y02+z-z02=r2 The traces of the sphere are the…

Q: Find the real solutions of each equation. Verify your results using a graphing utility.

A: Given equation is: t4-16=0 Solving we get, t22-42=0⇒t2+4t2-4=0⇒t2+4=0  ;   t2-4=0⇒t2=-4  ;…

Q: Write the following equation in vertex form: y2-20y+ 100 = 6x O (v-20)² = 6x O (-10)² = 4()(x-0) O…

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Q: Find the equation for a radical function.in the form y = avx-h+k with intercepts of G.0) and (0,-1).

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Q: (a) Write the following equations in standard form. (b) Draw sketch graphs of the following,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which is the graph of the quadratic equation y=x+ 3 ? a. С. 10 10 -10 10 10 b. d. 10 .... ... ....…

A: