Quadratic functions can be seen in two different forms...
standard form: y=ax^2 + bx +c
vertex opening form: y - k = a (x - h)^2
In vertex opening form, the a value tells us opening.
If a>0, parabola opens up.
If a<0,>1, parabola is narrow.
If a= <1,>
Ex) y - k = a (x - h)^2
y - 1 = 2 (x + 2)^2
y - 1 = 2 (x - (-2)) ^2
Answer: (h, k) = (-2, 1)
Cubic functions can also be seen in two different forms...
standard form: ax^3 + bx^2 + cx + d = 0
function form: f(x) = ax^3 + bx^2 + cx +d
y - 1 = 2 (x + 2)^2
y - 1 = 2 (x - (-2)) ^2
Answer: (h, k) = (-2, 1)
Cubic functions can also be seen in two different forms...
standard form: ax^3 + bx^2 + cx + d = 0
function form: f(x) = ax^3 + bx^2 + cx +d
A cubic equation can have no exponent larger than 3.
Exponential functions are all in the form y = ab^x. Generally, we see exponential graphs look like this...
To solve a basic exponential problem we have to create lists on our calculator and use ExpReg to sove the equation.
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