Please help me with these five qustions of parabola with explanation.

 

PLEASE TRY TO SOLVE ALL

Asked by vidyavikram10 | 22nd Aug, 2019, 06:49: PM

Expert Answer:

2.
Parabola passing through the point (x,y) is given by 

y=ax2+bx+c .... (i)

(i) passes through (4,4), (0, 8) and (2, 4)

rightwards double arrow 4 equals 16 a plus 4 b plus c space.... space left parenthesis i i right parenthesis
8 equals c space.... space left parenthesis i i i right parenthesis
4 equals 4 a plus 2 b plus c space.... space left parenthesis i v right parenthesis
S u b s t i t u t i n g space left parenthesis i i i right parenthesis space i n space left parenthesis i i right parenthesis space a n d space left parenthesis i v right parenthesis comma space w e space h a v e
4 a plus b equals negative 1 space a n d
2 a plus b equals negative 2
S o l v i n g space a b o v e space t w o space e q u a t i o n s space s i m u l tan e o u s l y comma space w e space g e t
a equals 1 half space a n d space b equals negative 3
F r o m space left parenthesis i right parenthesis comma space t h e space e q u a t i o n space o f space t h e space p a r a b o l a space i s
y equals 1 half x squared minus 3 x plus 8
rightwards double arrow y minus 7 over 2 equals 1 half open parentheses x minus 3 close parentheses squared

Answered by Renu Varma | 23rd Aug, 2019, 10:52: AM

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