Question

The diagram shows a sketch of the curve y = x² + 3x – 4.
(i) Find the coordinates of the points A, B and C.​

Answer 1

Step-by-step explanation:

1×4=4

4×(-1)=-4

4-1=3

x²+4x-x-4=0

x(x+4)-1(x+4)=0

(x+4)(x-1)=0

x+4=0 ×-1=0

×=-4 ×= 1

A lies on x axis so its y will be 0

A coordinated are : (-4,0)

B lies on x axis so its y will be 0

B coordinater are : (1,0)

C lies on only y axis so its x will be 0

y=x²+3×-4

= (0)²+3×0-4

= 0+0-4

= -4

value of C is : (0,-4)

Answer 2

Answer:

Step-by-step explanation:

1×4=44×(-1)=-44-1=3x²+4x-x-4=0x(x+4)-1(x+4)=0(x+4)(x-1)=0x+4=0 ×-1=0×=-4 ×= 1A lies on x axis so its y will be 0A coordinated are : (-4,0)B lies on x axis so its y will be 0B coordinater are : (1,0)C lies on only y axis so its x will be 0y=x²+3×-4= (0)²+3×0-4= 0+0-4= -4value of C is : (0,-4)