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Checkpoint 22 - Rewrite This Expression

bra1.7.22 Cool-down: Rewrite This Expression [STUDENT] - EMMA CSEHOSKI
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Lesson 22: Rewriting Quadratic Expressions in Vertex Form
Cool Down: Rewrite This Expression
1.
A quadratic function is defined by the expression x²-20x + 19. Rewrite the expression in vertex
form by completing the square and give the coordinates of the vertex. Show your reasoning.
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2.
Find the vertex the x- and y-intercents and then graph the giver

Answer 1

To rewrite the expression x²-20x + 19 in vertex form, we need to complete the square. The vertex of the parabola is (10, 75/4).

Step-by-step explanation:

To rewrite the expression x²-20x + 19 in vertex form, we need to complete the square. Starting with the coefficient of x², we have 1. Half of this coefficient is 1/2. We square this to get 1/4. Adding and subtracting this value, the expression becomes (x²-20x + 1/4) + 19 - 1/4. Simplifying, we get (x - 10)² + 75/4. This is the expression in vertex form. The vertex of the parabola is (10, 75/4).

Learn more about Rewriting quadratic expressions in vertex form