A sloth is climbing down a tree at a constant speed. The sloths height changes by -55 feet in 11 minutes. Which expression repre
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Expanded, the function is ...
... p(x) = x² -x +1
Compared to
... ax² +bx +1
- The value of a is 1
- The vaule of b is -1
- The value of c is 1
- The value of the discriminant is b²-4ac = 1²-4·1·1 = -3
- The quadratic function will intersect the x-axis 0 times.
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The negative discriminant means there are no real roots, hence no x-intercepts.
let's notice that the x-coordinate is the same for both points.
Check the picture below.
