Transform the following quadratic functions from y=a(x-h)^2+k form to its corresponding standard form y=ax^2+bx+c. Write your solutions on the space provided
1. y=(x-4)^2+3
2. y=2(x+3)^2-2
3. y= -2(x+1)^2=2
WITH SOLUTIONS
pls help,i brainliest ko po yung makaanswer
NONSENSE=REPORT
1. y=(x-4)^2+3
2. y=2(x+3)^2-2
3. y= -2(x+1)^2=2
WITH SOLUTIONS
pls help,i brainliest ko po yung makaanswer
NONSENSE=REPORT
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Answer:
1) x²-8x+19
2) 2x²+12x+16
3) -2x²-4x-4 if the c is -2, if the c is +2 the equation is -2x²-4x
Step-by-step explanation:
1.) y=(x-4)²+3
=(x-4)(x-4)+3. using the foil method
=(x²-8x+16)+3. add the similar terms
y=x²-8x+19 is the standard form of y=(x-4)²+3
2) y=2(x+3)^2-2
={2(x+3)(x+3)}-2. in this we will use gemdas
and foil method
= {2(x²+6x+9)}-2 use distributive property
= 2x²+12x+18-2. add same terms
y=2x²+12x+16 is the standard form of y=2(x+3)^2-2
3) y= -2(x+1)^2-2( if ever the contant is -2)
= {-2(x+1)(x+1)}-2. same process with no. 2
= {-2(x²+2x+1)}-2 distributive property
= -2x²-4x-2-2 add the similar terms
y = -2x²-4x-4 is the standard form of
y= -2(x+1)^2-2
y= -2(x+1)^2+2( if the constant is +2)
= {-2(x+1)(x+1)}+2 same process as no.2
= {-2(x²+2x+1)}+2 distributive property
= -2x²-4x-2+2. add similar terms
y =-2x²-4x is the standard form of y= -2(x+1)^2+2
THAT'S ALL HOPE IT HELPS YOU!!