Parabola

Theme: Parabola...

Graph the line using intercepts: 4x-3y=12

F(x) = 4x^2 - 3x + 2kx + 1 What’s the value of k for which the function has two zeros? Can someone show me step by step?

How do i graph the parabolas y = 1/32x^2

Sienna has 80 yards of fencing to enclose a rectangular area. Find the dimensions that maximize the enclosed area. What is the maximum area?

if the equation is h= -2x^2 + 12x -10how do I find the max height?

Convert y=x squared +64x + 12 into graphing form

The vertex of the parabola y = x2 + 8x + 10 lies in Quadrant

Which quadratic function has its vertex at (-2,7) and opens down?

find the x intercept and coordinates of the vertexfor the parabola y=x^2-14x+49?

Write a paragraph describing the different types of functions. You must use all of the following words at least once: 1. Linear 2. Quadratic 3. Exponential 4. Straight Line 5. Parabola 6. Curve

Solve the equation for x∈Z -x² +8x -14 ≥ 0

The line with equation x-3y-27=0 meets the parabola y²=4x at two points. Find their coordinates

Consider the equations: f(x)= -6x-1 and g(x) = 4x^2 Select the solution for (f+g) (x).

The function y = -0.03(x - 14)^2 + 6 models the mump of a red kangaroo where x is the horizontal distance in meters and y is the vertical distance in meters for the height of the jump. What is the kangaroo’s maximum height? How long is the kangaroo’s jump?

After t sec. a ball tossed in the air from ground level reaches a height of h feet given by the equation: h=144t-16t^2 a. what is the height of the ball after 3 sec. 288 ft. b. what is the maximum height the ball will reach c. find the number of seconds the ball is in the air when it reaches 224 ft in height d. after how many sec. will the ball hit the ground before rebound? I am not sure which equation to use and why for the b, c, and d. If I find the ft/sec. that the ball travels (96), and set the quadratic equation to -16t^2+144t+288 or 16t^2-144t-288=0, is this correct? Or should I use the quad formula and why.

Find the domain x^2-25/2

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1.

F(x)= (x+2)^2 -1 Find x intercept Find y intercept Find vertex

After t seconds, a ball tossed in the air from the ground level reaches a height of h feet given by the equation h = 144t-16t^2 What is the height of the ball after 3 seconds? What is the maximum height the ball will reach? Find the number of seconds the ball is in the air when it reaches a height of 224 feet. After how many seconds will the ball hit the ground before rebound?

Tickets to a school dance cost $4 and the projected attendance is 300 people. For every $0.10 increase in ticket price, the dance committee projects that attendance will decrease by 5. Using formula R(4+.10t) (300-5t) where t is ticket price. Determine the dance committee’s greatest possible revenue. ( show work as in #’s) What ticket price will produce the greatest revenue? ( show work as in #’s)

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