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Show Answer Key & Explanations Step-by-step solution for: mass-weight-gravity-ws-1.pdf - NAME Period Physical Science Mass ...

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Let’s solve this step by step.

We are given a function:
f(x) = 2x² - 8x + 5

We need to find the vertex of this parabola.

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Step 1: Remember the vertex formula

For any quadratic function in the form:
f(x) = ax² + bx + c,
the x-coordinate of the vertex is:
> x = -b / (2a)

Then, plug that x-value back into the function to get the y-coordinate.

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Step 2: Identify a, b, and c

From f(x) = 2x² - 8x + 5:

- a = 2
- b = -8
- c = 5

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Step 3: Find the x-coordinate of the vertex

Use the formula:
x = -b / (2a)
= -(-8) / (2 * 2)
= 8 / 4
= 2

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Step 4: Find the y-coordinate

Plug x = 2 into f(x):

f(2) = 2*(2)² - 8*(2) + 5
= 2*4 - 16 + 5
= 8 - 16 + 5
= (-8) + 5
= -3

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Step 5: Write the vertex as an ordered pair

Vertex = (x, y) = (2, -3)

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Final Answer:
(2, -3)

Parent Tip: Review the logic above to help your child master the concept of physical science mass and weight worksheet answer key.

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