Answer:
Step-by-step explanation:
y = x² + 2x - 3
a = 1 ; b = 2 ; c = -3
Axis of symmetry x = -b/2a
[tex]=\dfrac{-2}{2*1}= -1[/tex]
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)
