Letter D would not be a quadratic.
x^2 + 3x - 2 = x^2 - 2x once simplified becomes
5x - 2 = 0 this is linear.
If the discriminant, b^2 — 4ac is positive (or > 0), then the solution will be two (2) distinct real solutions.
If the discriminant is positive ( > 0), there are 2 real solutions.
If the discriminant is = 0, there is 1 real repeated solution.
If the discriminant is negative (< 0), there are 2 complex solutions (but no real solutions).
Answer: D) 10 sin (πx) - 5
<u>Step-by-step explanation:</u>
The range (maximum - minimum) is 5 - (-15) = 20
The amplitude (A) is range (20) ÷ 2 = 10
The vertical shift (D) is maximum (5) - amplitude (10) = -5
Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.
Answer:
a+b
Step-by-step explanation: