Equation + parabola - practice problems

Number of problems found: 14

Suppose 10
Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B.
What is 25
What is the trunk of 8 and 10?
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.
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.

EQ2 - symetric results
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2).
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)
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?

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Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation? Equations practice problems. Parabola - practice problems.