y = x2 + 4
The graph is a parabola, with its nose at y=4 on the y-axis, and opening upward.
Eight.
x2 + x2 = 2x2
It is a parabola which doesn't touch the X-axis. i.e., It has no real roots.
There are none. For this equation, there is nonreal answer, as the graph of the quadratic does not pass below the x-axis
Line of symmetry: x = 3
y=x2+2x+1 -b -2 2a= 2= -1 = axis of symmetry is negative one.
No real roots. Imaginary roots as this function does not intersect the X axis.
It equals x2 - 34
-1
The quadratic expression x2+6x+8 when factorised equals (x+2)(x+4)
y = x2 + 8x - 7 a = 1, b = 8, c = -7 the equation of the axis of symmetry: x = -b/2a x = -8/(2*1) = -4
This is a parabola pointing 'down'. It's apex is at the point (4,0). It crosses the x-axis at the points (2,0) and (-2,0)