# Parabola - practice problems

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 21

- What is 25

What is the trunk of 8 and 10? - Suppose 10

Suppose 4+7i is a solution of 5z2+Az+B=0, where A, B∈R. Find A and B. - Parabola with abs

A). Sketch the graph of the function f(x)=x * absolute(x) = x * |x| b). For what values of x is f(x) differentiable c). Find F(x) - Determine 80662

Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2). - Parabola 3

Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c - Trapezoid and bases

Find the area of the trapezoid whose bases differ by three and whose height is three less than twice the upper base. - The sequence

Find the nth term of the progression 2,6,12,20... - Arithmetic mean - parabola

Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10. - Acceleration 82397

The position of a mass point that moves along the x-axis is given by the relation x=10t²-5t. Express its velocity and acceleration. - Ball

The soldier fired the Ball at an angle of 35° at an initial velocity of 292 m/s. Determine the length of the litter. (g = 9.81 m/s²). - A missile

A missile is fired with a speed of 100 fps in a direction 30° above the horizontal. Determine the maximum height to which it rises. Fps foot per second. - An archer

An archer stands 60 meters (m) from a target. She launches an arrow that lands 3 centimeters (cm) from the bull's eye. The archer changes her position to 40 m from the target, and her next arrow lands 2 cm from the bull's eye. She changes her position to - Parabolic 79764

In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court? - Ballistic curve

The soldier fired the ballistic grenade at a 45° angle. The first half ascended, and the second fell. How far and height it reached if his average speed was 1200 km/h, and 12 seconds took from the shot to impact. - Determine 82478

Determine the equation of the parabola that has the point F = [3,2] as its focus and the line x+y+1=0 as its shift line. - Determine 83003

Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - Intersections 62784

A quadratic function is given: y = -x² + 2x + 3 a) determine the intersections with the x, y-axis and peak V b) draw a graph and describe c) for which x applies f (x) = 3 - Parabola

Find the equation of a parabola that contains the points at A[10; -5], B[18; -7], C[20; 0]. (use y = ax²+bx+c) - Equation 80525

Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - FX parabola

Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7)

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