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Determine whether the function's vertex is a maximum point or a minimum point and find the coordinates of this point. Find the zeros, if any exist, and sketch the graph of the function. /= x= x2 Step 1 First write the function in general form, y = ax2 + bx + C. - 1/2+². Since a y = Step 3 The vertex is a maximum point. O The vertex is a minimum point. + X X = 0, the parabola opens downward ✔ Step 2 The coordinates of the vertex of a quadratic function of the form y = ax² + bx + care (= f(b)). Use the values of a and b to determine the x-coordinate of the vertex. -1 -b 2a 2.-1/8 ✔ y = - (x, y) = + The x-coordinate of the vertex is 4. Use that value in the equation to determine the y-coordinate of the vertex, y = 1 Great job. Step 4 Give the coordinates of the vertex. -1/8 downward So, is the vertex a maximum or a minimum? = 4✔ Fantastic! = f(4).

Determine whether the function's vertex is a maximum point or a minimum point and find the coordinates of this point. Find the zeros, if any exist, and sketch the graph of the function. /= x= x2 Step 1 First write the function in general form, y = ax2 + bx + C. - 1/2+². Since a y = Step 3 The vertex is a maximum point. O The vertex is a minimum point. + X X = 0, the parabola opens downward ✔ Step 2 The coordinates of the vertex of a quadratic function of the form y = ax² + bx + care (= f(b)). Use the values of a and b to determine the x-coordinate of the vertex. -1 -b 2a 2.-1/8 ✔ y = - (x, y) = + The x-coordinate of the vertex is 4. Use that value in the equation to determine the y-coordinate of the vertex, y = 1 Great job. Step 4 Give the coordinates of the vertex. -1/8 downward So, is the vertex a maximum or a minimum? = 4✔ Fantastic! = f(4).

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CR: Chapter Review
Problem 1E
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Determine whether the function's vertex is a maximum point or a minimum point and find the coordinates of this point. Find the zeros, if any exist, and sketch the graph of the function. 11x² 8 y = x - Step 1 First write the function in general form, y = ax² + bx + C. Since a O The vertex is a maximum point. O The vertex is a minimum point. X = + X 0, the parabola opens downward ✔ Step 2 The coordinates of the vertex of a quadratic function of the form y = ax² + bx + care (()). Use the values of a and b to determine the x-coordinate of the vertex. -1 2a 2. -1/8 ✔ y = (x, y) = Step 3 The x-coordinate of the vertex is 4. Use that value in the equation to determine the y-coordinate of the vertex, y = = − 1 2 (4)² + 2 Great job. Step 4 Give the coordinates of the vertex. ) = (1 downward. So, is the vertex a maximum or a minimum? -1/8 4 Fantastic! 2a = f(4).
Transcribed Image Text:Determine whether the function's vertex is a maximum point or a minimum point and find the coordinates of this point. Find the zeros, if any exist, and sketch the graph of the function. 11x² 8 y = x - Step 1 First write the function in general form, y = ax² + bx + C. Since a O The vertex is a maximum point. O The vertex is a minimum point. X = + X 0, the parabola opens downward ✔ Step 2 The coordinates of the vertex of a quadratic function of the form y = ax² + bx + care (()). Use the values of a and b to determine the x-coordinate of the vertex. -1 2a 2. -1/8 ✔ y = (x, y) = Step 3 The x-coordinate of the vertex is 4. Use that value in the equation to determine the y-coordinate of the vertex, y = = − 1 2 (4)² + 2 Great job. Step 4 Give the coordinates of the vertex. ) = (1 downward. So, is the vertex a maximum or a minimum? -1/8 4 Fantastic! 2a = f(4).
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