Answered

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hey can u help me with Algebra 1 “shifting parabolas The parabola y=x^2 is shifted up by 7 units and to the left by 1 unit. What is the equation of the parabola

Sagot :

ANSWER

y = (x + 1)² + 7

EXPLANATION

To translate a function upwards, we have to add a constant to the function,

[tex]f(x)+c[/tex]

So, if we want to shift the parabola up by 7 units, we have to add 7 to the equation,

[tex]y=x^2+7[/tex]

To translate a function to the left, we have to add a constant to the variable,

[tex]f(x+c)[/tex]

So, if we want to shift the parabola 1 unit to the left, we have to add 1 to x,

[tex]y=(x+1)^2+7[/tex]

Hence, the equation of the parabola is y = (x + 1)² + 7.

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