Question

How do i answer these​

Answer 1

Explanation:

y = x² + 2x - 3

a = 1 ; b = 2 ; c = -3

Axis of symmetry x = -b/2a

`=(-2)/(2*1)= -1`

Axis of symmetry : x = -1

Vertex:

f(-1) = (-1)² + 2*(-1) - 3 = 1 -2- 3

= -4

Vertex(-1 , -4)

Domain: all real numbers;

Range: all real numbers greater than -4

-4≥ y ≤∞

a> 0, Parabola open upwards

y -intercept:

At y-intercept x = 0

f(0) = 0 + 0 - 3 = -3

Y-intercept= -3

x-intercept:

At x-intercept y = 0

x² + 2x -3 = 0

x² + 3x - x - 3 =0

x(x + 3) -(x +3)=0

(x +3)(x -1) =0

x +3 = 0 ; x - 1 = 0

x = -3 ;x = 1

X-intercept: (-3,0) & (1 , 0)