Graph this function: f(x) = x^2 −4x − 5 | Steps: Step 1: Identify a and b. | Step 1: | Step 2: Find the vertex using the formula x=−b2ax = \frac {-b}{2a}. x=42(1)x = \frac {4}{2(1)} | Step 2: | Step 3: Plot the vertex. | Step 3: | Step 4: Factor the function to find the x-intercepts. | Step 4: | Step 5: Plot the x-intercepts. | Step 5: | Step 6: Find the y-intercept. | Step 6: | Step 7: Plot the y-intercept. | Step 7: | Step 8: The smooth curve through these points shows the graph of the function. | Step 8: | [-intercepts are:]
Answer
A
(0, 5) and (0, −1)
B
(5, 0) and (−1, 0)
Explanation
To find the x-intercepts, set f(x) equal to 0: x² − 4x − 5 = 0. Factoring gives (x − 5)(x + 1) = 0, so x = 5 or x = −1. The intercepts are (5, 0) and (−1, 0), which matches choice B.
AI-written and checked against the verified answer.

Question

Graph this function: f(x) = x^2 −4x − 5 | Steps: Step 1: Identify a and b. | Step 1: | Step 2: Find the vertex using the formula x=−b2ax = \frac {-b}{2a}. x=42(1)x = \frac {4}{2(1)} | Step 2: | Step 3: Plot the vertex. | Step 3: | Step 4: Factor the function to find the x-intercepts. | Step 4: | Step 5: Plot the x-intercepts. | Step 5: | Step 6: Find the y-intercept. | Step 6: | Step 7: Plot the y-intercept. | Step 7: | Step 8: The smooth curve through these points shows the graph of the function. | Step 8: | [-intercepts are:]

Answer

A

(0, 5) and (0, −1)

B

(5, 0) and (−1, 0)

Explanation

To find the x-intercepts, set f(x) equal to 0: x² − 4x − 5 = 0. Factoring gives (x − 5)(x + 1) = 0, so x = 5 or x = −1. The intercepts are (5, 0) and (−1, 0), which matches choice B.

AI-written and checked against the verified answer.

Revolt · Accepted Answer

(5, 0) and (−1, 0)

Quadratic Functions: Standard Form

Explanation

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