Verified answer

Factorise y=x²-6x-16 whilst setting the value of y to 0. This will identify where the graph intersects on the x-axis (the line y=0)

Therefore x²-6x-16=0

Factorise here by creating two brackets, each containing an x. Each bracket will also have an accompanying number (ie: (x+6)). It is necessary for these numbers to be FACTORS of negative 16 that ADD to form negative 6.

Therefore, (x-8)(x+2)=0 (as -8 multiplied by 2 is -16)

At this point, either one of the brackets can equal 0 to satisfy the equation, as anything multiplied by 0 equals 0.

Therefore, x-8=0 so x=8

and x+2=0 so x=-2

Hence the quadratic curve is drawn with a U shape (as coefficient of x² is POSITIVE 1) intersecting on the x-axis at -2 and 8. These are your answers. Hope this is understandable

look for the x-intercepts

x= - 2

x = 8