Given a Vertex and a Point, Write Quadratic

What type of extreme doe the quadratic function have when the vertex is at (2, 3) and a second point is located at (-1, 0)?

Tags

CCSS.HSF-IF.C.7A

What is the range of the quadratic function when the vertex is at (2, 3) and a second point is located at (-1, 0)?

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7A

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

• y = 6(x + 5)² + 9

• y = -6(x - 5)² + 9

• y = 6(x - 5)² + 9

• y = -6(x + 5)² + 9

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

• f(x) = 1/4(x - 4)² - 1

• f(x) = 4(x - 4)² - 1

• f(x) = 4(x + 4)² - 1

• f(x) = 1/4(x + 4)² - 1

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

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What is the equation in vertex form?

• y = 4(x + 3)² - 4

• y = -4(x - 3) - 4

• y = -4(x + 3)² + 4

• y = -4(x - 3)² + 4

Tags

CCSS.HSF-IF.C.7A

What do we call the highest or lowest point of a quadratic?

• parabola

• vertex

• graph

• point

Write a quadratic equation given the x intercepts and one other point.

Step 2: Find a.

Now that you know that the factors are (x-6) and (x-8), you must find a. Plug the coordinates of the vertex (7, 1) in for x and y and solve for a.

y = a(x-6)(x-8)

What is the value of a?

• a = 1

• a = -1

• a = 7

• a = -7

Write a quadratic equation in vertex form given the vertex and another point.

• (x+1)²-4=y

• (x-1)²-4=y

• (x + 1)(x - 3)=y

• x2 +2x - 3=y

Write the equation of the quadratic in vertex form given the following:
vertex: (4, -2)
point: (0,-6)
opens down

• f(x)=(x-4)²-2

• f(x)=-4(x-4)²-2

• f(x)=1/4(x+4)²-2

• f(x)=-1/4(x-4)²-2