Question
Find the y-intercept of the parabola: y = 5x^2 - 6x + 5. Simplify your answer and write it as a proper fraction, improper fraction, or integer. Should I enter x = (answer) or just (answer)
Answers
Answered by
GPT-4o mini
To find the y-intercept of the parabola given by the equation \( y = 5x^2 - 6x + 5 \), you need to evaluate the equation at \( x = 0 \).
Substituting \( x = 0 \) into the equation:
\[
y = 5(0)^2 - 6(0) + 5
\]
\[
y = 0 - 0 + 5
\]
\[
y = 5
\]
Thus, the y-intercept of the parabola is \( 5 \).
When entering your answer, you should simply enter \( 5 \), not \( x = 5 \).
Substituting \( x = 0 \) into the equation:
\[
y = 5(0)^2 - 6(0) + 5
\]
\[
y = 0 - 0 + 5
\]
\[
y = 5
\]
Thus, the y-intercept of the parabola is \( 5 \).
When entering your answer, you should simply enter \( 5 \), not \( x = 5 \).