Key Features of Quadratics Across Different Forms

What does a positive 'a' value indicate about the direction a quadratic function opens?

• Opens sideways

• No opening

• Opens upwards

• Opens downwards

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept of the quadratic equation y = -2x^2 + x - 5?

• (0, 5)

• (0, -5)

• (5, 0)

• (0, 0)

Tags

CCSS.HSF-IF.C.7A

In the vertex form of a quadratic equation, what does the term 'opposite HK' refer to?

• Horizontal shift

• The focus of the parabola

• The vertex of the quadratic

• Vertical shift

Tags

CCSS.HSF-IF.C.7A

How does the vertex form help in identifying transformations?

• Determines the coefficient 'a'

• Shows maximum or minimum values

• Indicates shifts and reflections

• Calculates the discriminant

What is the vertex of the quadratic y = 2 * (x - 3)^2 + 7?

• (-3, 7)

• (3, -7)

• (-3, -7)

• (3, 7)

What transformation does the coefficient '2' in the equation y = 2 * (x - 3)^2 + 7 represent?

• Vertical stretch by 2

• Vertical compression by 2

• Horizontal stretch by 2

• Horizontal compression by 2

What are the x-intercepts of the quadratic equation y = (x + 1)(x - 3)?

• x = 1 and x = -3

• x = -1 and x = 3

• x = -1 and x = -3

• x = 1 and x = 3

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

In factored form, if there is a negative sign before the parentheses, what does it indicate about the quadratic's opening?

• Opens upwards

• Opens downwards

• Opens to the right

• Opens to the left

Tags

CCSS.HSF-IF.C.7A

What does the factored form primarily tell us about a quadratic equation?

• The vertex

• The coefficient 'a'

• The y-intercept

• The x-intercepts

Tags

CCSS.HSF-IF.C.7A

How do you find the x-intercepts from the factored form of a quadratic?

• Set y equal to zero and solve for x

• Add the factors and set equal to zero

• Multiply the factors and set equal to zero

• Set x equal to zero and solve for y

Tags

CCSS.HSF-IF.C.7A