Question
April rewrote a quadratic function in vertex form.
h(x)=5^2-30x+30
step 1 h(x)=5(x^2-6x+ )+30
step 2 h(x)=5(x^2-6x+9)+30-45
step 3 h(x)= 5(x-3)^2+15
In which step did they make a mistake? and how? Please help
h(x)=5^2-30x+30
step 1 h(x)=5(x^2-6x+ )+30
step 2 h(x)=5(x^2-6x+9)+30-45
step 3 h(x)= 5(x-3)^2+15
In which step did they make a mistake? and how? Please help
Answers
I see two errors
1. should be h(x)=5x^2-30x+30 and not h(x)=5^2-30x+30
2. in step 2 to step 3, +30-45 = -15 , not +15
1. should be h(x)=5x^2-30x+30 and not h(x)=5^2-30x+30
2. in step 2 to step 3, +30-45 = -15 , not +15
you left the 1st x out of the original equation ... transcription mistake
but the error is in the last step ... the 15 should be negative
but the error is in the last step ... the 15 should be negative