Factoring
Express the quadratic function in factored form:
x2 - 19x + 78
(x - 6)(x - 13)
x2 + 13x + 12 = 0
x = -12 and x = -1
If g(x) = f(x) - 7 describe how g(x) will look in relation to f(x).
The entire function of g(x) down seven values in relation to f(x)
What value tells you the strength of a linear function?
r value
Express the quadratic function in factored form:
4x2 + 17x + 13
(4x + 13)(x + 1)
3(x + 9) - 4x = 5 - 2(2x + 7)
x = -12
If g(x) = f(x - 0) + 1 describe how g(x) will look in relation to f(x).
The entire function of g(x) is shifted up one value from f(x).
What value tells you the strength of a quadratic or exponential function?
Express the quadratic function in factored form:
-2x2 + 10x + 48
-2(x - 3)(x + 8)
2[ x - 9 ] = 22
* [ ] are absolute value symbols because this won't let me insert vertical lines
x = 20 and x = -2
If g(x) = 2f(x) describe how g(x) will look in relation to f(x).
For every output of f(x), g(x) is two times bigger.
What formula calculates a linear regression in Desmos?
y1 ~ mx1 + b
Express the quadratic function in factored form:
-10x2 + 75x - 140
-5(2x - 7)(x - 4)
2[ 3x - 9 ] = -6
* [ ] are absolute value symbols because this won't let me insert vertical lines
No Solution
If g(x) = f(x + 3) + 2 describe how g(x) will look in relation to f(x).
The entire function of g(x) is shifted to the left three values, and up two values in relation to f(x)
What formula calculates an exponential regression in Desmos?
y1 ~ a(b)x1
Express the quadratic function in factored form:
25x2 + 130xy + 169y2
(5x + 13y)(5x + 13y)
If k = am + 3mx - 5, the value of m in terms of a, k, and x, can be expressed as ...
m = k + 5 / (a + 3x)
If g(x) = 0.5f(x - 2) - 4 describe how g(x) will look in relation to f(x).
The entire function of g(x) is shifted to the right two values, and down four values in relation to f(x). In addition all of the output values are now one half the size.
What formula calculates a quadratic regression in Desmos?
y1 ~ ax12 + bx1 + c