Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated 4 units right and 1 unit down b) Congruent to y=0.5x2 with a maximum value of -4 at x = -2

Q: A parabola has equation y= 9x2 +x+c . One x-intercept is -2. What is the value of C

A: Given, The equation of the parabola  y =9x2 +x+c  One x-intercept is -2.  We have to find the value…

Q: A rope bridge crosses a ravine that is 100 feet wide. The bridge drops down from the edge to a low…

A: Given that the equation of the bridge is: y=1250(x-50)2-10  If I am 30 ft from the left end, then…

Q: a) Create an equation in factored form that satisfies the following: • has an odd degree; • has…

A: We have to create an equation of the form fx=x-ax-b…x-n where a, b, c, …, n∈ℚ. We are given various…

Q: Find the vertex of the parabola answer must be an ordered pair F(x)=2x2-8x+3

A: We will find the vertex by comparing with standard form of quadratic parabola.

Q: 2.1 A projectile is launched upward from the ground. Its height s in feet above the ground after t…

A: A projectile is launched upward from the ground. Its height s in feet above the ground after t…

Q: 2. a. f(x) = 5x² + 40x + 77 b. y = 2r + 12x + 17 c. y = 2x – 8x + 1 d. y = 2x – 6x – 1 — 1

A: To write the vertex form of the given quadratic equations. Note that the vertex form of the…

Q: A parabola has zeros at -6 and 10. Its vertex is located at (2, 16). Determine the equation of the…

A: The detailed solution is as follows below:

Q: The science department on planet Zoplik created a catapult to launch objects off of the roof of a 45…

A:

Q: A soccer ball is hit from the ground and lands 12 meters away from where it was hit. Further- more,…

A: Solve the given problem

Q: a) Create an equation in factored form that satisfies the following: • has an odd degree; • has…

A:

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: Based on a grade 10 student, answer the following question: Complete the table below for the…

A: The objective of this question is to find the zeros, equation of the axis of symmetry, optimal…