The parabola 𝑦 = 2𝑥 2 − 12𝑥 + 1 goes through the point (3,-17). Check this! Now find a parabola with the exact same shape but passing through the point (1,1). Write your answer in standard form.

Answer 1

Just shift the graph up by 10

y= 2x^2 -12 x + 1 becomes

y= 2x^2 -12x + 11

plug in the numbers to check it

-17 = 2(3)^2 -12(3) +1 = 18-36+1 = -17

1 = 2(1)^2 -12(1) +11 = 2-12+11 = 1