find the y-intercept of the polynomial function.

(f(x) = -x^2 + 2x + 8)

a. (-1)
b. (0)
c. (8)
d. (-8)

Question

find the y-intercept of the polynomial function.

(f(x) = -x^2 + 2x + 8)

a. (-1)
b. (0)
c. (8)
d. (-8)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Y-Intercept of Polynomial" ], "new_concepts": [], "current_concepts": [ "Y-Intercept of Polynomial", "Polynomial Functions" ] } ## Define the y-intercept concept Using the *Y-Intercept of Polynomial* knowledge point $$ x = 0 $$ ## Evaluate the function at zero Using the *Y-Intercept of Polynomial* knowledge point $$ \begin{aligned} f(0) &= -(0)^2 + 2(0) + 8 \ f(0) &= 8 \end{aligned} $$

A. $-1$

B. $0$

C. $8$

D. $-8$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Y-Intercept of Polynomial" ] }

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QUESTION IMAGE

Question

Explanation:

Define the y-intercept concept

Evaluate the function at zero

Answer: