3. Write the equation, in standard form, of the parabola containing the following points: (0, 1), (1, 5), (2, 3)
Student's Work
Student's Answer
A. y = -x2 + 5x + 3
B. y = 3x2 - 7x - 1
C. y = -3x2 + 7x + 1
D. y = -7x2 + 3x + 1

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions