Question 829966
---
y = 1.75(x + 3)^2 + 3
y = 1.75(x + 3)(x + 3) + 3
y = 1.75(x^2 + 6x + 9) + 3
y = 1.75x^2 + 1.75*6x + 1.75*9 + 3
y = 1.75x^2 + 10.5x + 15.75 + 3
y = 1.75x^2 + 10.5x + 18.75
---
the above quadratic equation is in standard form, with a=1.75, b=10.5, and c=18.75
---
to solve the quadratic equation, by using the quadratic formula, copy and paste this:
1.75 10.5 18.75
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
---
the quadratic vertex is a minimum at: ( x= -3, y= 3 )
---
answer:
the domain is all x real
the range is y >= 3
---
graph:
---
{{{ graph( 300, 300, -8, 2, -2, 20, 1.75x^2 + 10.5x + 18.75) }}}
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php