First rewrite the quadratic function standard form by comple

First rewrite the quadratic function standard form by completing the squane, then address the foloaing and Rewrite the quadratic function in standard form oA.- O D. There essary in the a What are the coordinates of the verter? The vertex is O B. There IType an ordered pair b Does the graph \"open up or open down? O opens up O opens down the equation of the The axis of symmetry is Type omplete your

Solution

                   f(x)=5x²+10x-4=5(x²+2x +1-1)-4

                           = 5(x+1)²-9

a. Vertex (h,k)=(-1,-9)

b. SInce here a is positive that is 5 so it opens up

c.axis of symmetry is x+1=0

x=-1

d. x intercepts

TO find the x intercept we have to plug f(x)=0

5x²+10x-4=0using quadratic formula we get

x= -2.342,.342

x intercepts are (-2.342,0),(.342,0)

e. y intercepts TO fint the y intercepts we have to plug x=0

f(x)= 0 + 0-4=-4

y intercept is at (0,-4)