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Algebra
Pregunta

6. Consider a parabola \( P \) that is congruent t...

6. Consider a parabola \( P \) that is congruent to \( y = x ^ { 2 } \) , opens upward, and has vertex \( ( 2 , - 4 ) \) . Now find the equation of a new parabola that results if \( P \) is 

a) stretched vertically by a factor of \( 5 \) 

b) compressed by a factor of \( \frac { 1 } { 2 } \) 

c) translated \( 2 \) units to the left 

d) translated \( 3 \) units up

 e) reflected in the \( x \) -axis and translated \( 2 \) units to the right and \( 4 \) units down 

Answer

a) \(y = 5(x - 2)^2 - 4\)

 

b) \(y = 0.5(x - 2)^2 - 4\)

 

c) \(y = x^2 - 4\)

 

d) \(y = (x - 2)^2 - 1\)

 

e) \(y = - (x - 4)^2 - 8\)

Solución
View full explanation on CameraMath App.