CCSS.HSA2P-QT.2 - The x-intercepts of the graph of y=2x^{2}-16x+30are (3, 0) and (5, 0).

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CCSS.HSA2P-QT.2 Finding the vertex from the equation of the parabola ninth grade high-school Algebra

Anonymous

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1.What is the x-coordinate of the vertex? How do you know?

2.Use your answer to part (a) above to find the y-coordinate of the vertex. Then write the vertex as a point (x, y).

Sangeetha Pulapaka (last edited 4 years ago) (Expert, Educator @Qalaxia)

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Step 1: Plot the parabola

Remember how to plot a parabola when two or three points are given

Step 2: Write the x-coordinate of the vertex

The x-coordinate of the vertex is 4

Step 3: Plug in x = 4 in the equation of the parabola to get the y coordinate of the vertex

y = 2x^{2}-16x +30

y = 2\times 4^{ 2} - 16 \times 2 +30

y = 32 - 64 + 30

y = -2

The vertex is (4,-2)