Project #50543 - Quadratic equations

A set of college algebra problems, with answers, are presented. The solutions are at the bottom of the page.

Write the quadratic function f(x) = -2x2 -12x - 20 in standard form (or vertex form).

Let f(x) = -2x2 + 4x + 6. 

 

a) Find the vertex of the graph of f. 

 

b) Find the range of f. 

 

c) Find the x - intercepts of the graph of f. 

 

c) Find the y - intercept of the graph of f.

f is a quadratic function whose graph has a vertex at the point (-3 , 2) and has a y-intercept at the point (0 , -16). 

 

a) Find the equation for function f. 

 

b) Find the x-intercepts of the graph of f.

Find all values of b and c so that the quadratic function f(x) = x2 + bx + c has a graph that is tangent to the x axis and a y-intercept at (0 , 4). 

Find the equation of a quadratic function f whose graph has a vertical axis of symmetry x = -2, the range of f is given by the interval [4 , +infinity) and f(2) = 8. 

Subject Mathematics
Due By (Pacific Time) 12/12/2014 12:00 am
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