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Write the quadratic relation in standard form?
Y=4(x+3)^2-4
And how you did it please? ^ means to power
2 Answers
- DaveWHLv 78 years ago
The standard form of a quadratic is
y = ax^2 + bx + c
So, start by multiplying out the brackets...
Y = 4 [ x^2 + 6x + 9] - 4
Y = 4x^2 + 24x + 36 - 4
Y = 4x^2 + 24x + 32
- 8 years ago
Standard form of a quadratic function: ax^2+bx+c
expand the quantity (x+3)^2 by FOIL. Since you're squaring the same quantity, use the pattern (a+b)^2 = a^2 + 2ab + b^2
a= x
b=3
therefore -----------> (x+3)^2 = x^2 + 6x + 9
now distribute the four to each term ------> 4x^2 + 24x + 36
now subtract 4 = 4x^2 + 24x + 32
Done.
Source(s): math major
