Intersections 62784

A quadratic function is given: y = -x² + 2x + 3
a) determine the intersections with the x, y axis
and peak V

b) draw a graph and describe

c) for which x applies
f (x) = 3


Y0 = (Correct answer is: [2,0]) Wrong answer
Y1 = (Correct answer is: [1,0]) Wrong answer
X0 = (Correct answer is: [0,3]) Wrong answer
V = (Correct answer is: [1,4]) Wrong answer
x1 =  2
x2 =  0

Step-by-step explanation:

fy=0  f(x)=0 X2+2X+3=3  X2+2X+3=3 X2+2X=0 X22X=0  a=1;b=2;c=0 D=b24ac=22410=4 D>0  X1,2=2ab±D=22±4 X1,2=22±2 X1,2=1±1 X1=2 X2=0   Factored form of the equation:  (X2)X=0  Y0=[2,0]
fx=0 y0=02+2 0+3=3  X0=[0,3]
a=1 b=2 c=3  Vx=2 ab=2 (1)2=1 Vy=c4 ab2=34 (1)22=4  V=[1,4]
f(x)=3 x2+2x+3=3  x2+2x+3=3 x2+2x=0 x22x=0  a=1;b=2;c=0 D=b24ac=22410=4 D>0  x1,2=2ab±D=22±4 x1,2=22±2 x1,2=1±1 x1=2 x2=0   Factored form of the equation:  (x2)x=0

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