Question

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

Answer 1

y = (x + 1)² + 7

Step-by-step explanation

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

`f(x)+c`

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

`y=x^2+7`

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

`f(x+c)`

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

`y=(x+1)^2+7`

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