9.1 Characteristics of Quadratic Functions

Does this graph have a maximum or a minimum?

• Maximum

• Minimum

Answer explanation

The graph has a minimum because it reaches a lowest point, indicating that the values do not go lower than this point. A maximum would indicate the highest point, which is not the case here.

Tags

CCSS.HSF-IF.C.7A

Does this question have a maximum or a minimum?

• Maximum

• Minimum

Answer explanation

The question asks whether there is a maximum or minimum. Since the correct answer is 'Maximum', it indicates that the context or values being considered reach a peak or highest point, confirming the presence of a maximum.

Tags

CCSS.HSF-IF.C.7A

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Answer explanation

The axis of symmetry for a parabola in the form y = ax^2 + bx + c is given by the formula x = -b/(2a). If the vertex is at (3, y), then the axis of symmetry is x = 3, making this the correct choice.

Tags

CCSS.HSF-IF.C.7A

What is the green dot on the parabola called?

• maximum

• minumum

• roots

• zeros

Answer explanation

The green dot on the parabola represents the maximum point, where the curve reaches its highest value. In this case, the correct answer is 'maximum'.

Tags

CCSS.HSF-IF.C.7A

Find the Vertex: y= x²- 4

• (0,0)

• (0,4)

• (0,-4)

• (4,0)

Answer explanation

To find the vertex of the parabola y = x^2 - 4, we use the vertex form. The vertex occurs at (0, -4), which is the minimum point of the graph. Thus, the correct answer is (0, -4).

Find the Vertex: y= -5x² -20x - 26

• (-2, -6)

• (2, 6)

• (6,2)

• (3, 6)

Answer explanation

To find the vertex of the quadratic equation y = -5x^2 - 20x - 26, use the vertex formula x = -b/(2a). Here, a = -5 and b = -20, giving x = -2. Substitute x = -2 into the equation to find y = -6. Thus, the vertex is (-2, -6).

Find the Axis of Symmetry (just x) : y= -2x² + 8x -5

• x = -3

• x= 2

• x =4

• x = -2

Answer explanation

The axis of symmetry for a quadratic equation in the form y = ax^2 + bx + c is given by x = -b/(2a). Here, a = -2 and b = 8, so x = -8/(2*-2) = -2. Thus, the correct answer is x = -2.

Find the Axis of Symmetry (just x) : y= -2x² + 8x -5

• x = -3

• x= 2

• x =4

• x = -2

Answer explanation

The axis of symmetry for a quadratic equation in the form y = ax^2 + bx + c is given by x = -b/(2a). Here, a = -2 and b = 8, so x = -8/(2*-2) = -2. Thus, the correct answer is x = -2.

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2

• maximum: 2

• minimum: 5

• maximum: 5

Answer explanation

The parabola opens downwards, indicating it has a maximum point. The vertex, which represents this maximum, has a value of 5. Therefore, the correct answer is 'maximum: 5'.

Maximum or Minimum

• Maximum

• Minimum

Answer explanation

The question asks for the extreme value. A minimum indicates the lowest point in a set, while a maximum indicates the highest. Since the correct answer is 'Minimum', it signifies the least value in the context provided.