Which of the following is the equation of a parabola?Question 5Select one:a.x = a(y + b)2 + cb.x = a(y + b)2- cc.x = a(y − b)2 - cd.x = a(y − b)2 + c
Question
Which of the following is the equation of a parabola?Question 5Select one:a.x = a(y + b)2 + cb.x = a(y + b)2- cc.x = a(y − b)2 - cd.x = a(y − b)2 + c
Solution
All of the options (a, b, c, d) represent the equation of a parabola. The standard form of a parabola equation is x = a(y - h)² + k or x = a(y + h)² - k, where (h, k) is the vertex of the parabola, and 'a' determines the direction and sharpness of the parabola. So, all the given options are correct.
Similar Questions
Which of the equations below could be the equation of this parabola?A.x = -2y2B.x = 2y2C.y = 2x2D.y = -2x2SUBMITarrow_backPREVIOUS
The vertex of the parabola below is at the point (2, -5). Which of the equations below could be the one for this parabola?A.x = -4(y - 2)2B.y = (x + 2)2 - 5C.y = (x + 5)2 + 2D.y = (x - 2)2 - 5SUBMITarrow_backPREVIOUS
The vertex of this parabola is at (-3, 2). Which of the following could be its equation?A.y = 4(x - 3)2 - 2B.y = 4(x + 3)2 + 2C.y = 4(x - 3)2 + 2D.y = 4(x + 3)2 - 2SUBMITarrow_backPREVIOUS
This question has 3 parts (a, b and c). A parabola has equation y = 2(x + 6)2 − 2.a. Expand and simplify to write the equation in the form y = ax2 + bx + c.b. Factor your equation from part a).c. Do the three equations represent the same parabola? Justify your response by making graphs. Attach image of the graph.
The vertex of the parabola below is at the point (1, 3), and the point (2, 6) is on the parabola. What is the equation of the parabola?A.y = 3(x - 1)2 + 3B.y = 6(x - 1)2 + 3C.y = 3(x + 1)2 - 3D.x = 2(y - 3)2 + 1SUBMITarrow_backPREVIOUS
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.