Question

Without calculating any other co-ordinates, give the x-intercepts (roots), y-intercept, and turning point of the graph y=2x^2-5x.

Answer 1

y = 2x^2 - 5x
y = x(2x - 5)

x intercepts:-

x(2x - 5) = 0 so these are 0 and 5/2  = 2.5  That is at points (0,0) and (2.5,0)
(Answer)

y-intercept  is when x = 0   so its at 2(x)^2 - 5(0)  = 0 

y intercept at (0,0) Answer

Turning point:-

the x coordinate will be at (2.5 -0 / 2 = 1.25
y coordinate is at  2(1.25^2) - 5*1.25 = -3.125

Turning point is at (11.25,-3.125) Answer