Quadratic Functions Key Features Warmup

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

Answer explanation

The graph has a minimum value because it reaches a lowest point, indicating that the function does not go below this value. Therefore, the correct answer is 'minimum'.

Tags

CCSS.HSF-IF.C.7A

Is this a max or min?

• max

• min

• cannot be determined

Answer explanation

The question asks whether the value is a maximum or minimum. Since the correct answer is 'max', it indicates that the value in question is the highest point in the given context.

What is the axis of symmetry?

• the slope of the graph

• the dividing line for a parabola

• a way to spin my pencil

• the x-axis

Answer explanation

The axis of symmetry is the dividing line for a parabola, which splits it into two mirror-image halves. This concept is essential in understanding the shape and properties of parabolic graphs.

What is the vertex of the graph?

• (2, 4)

• (3, -1)

• (0, 8)

• (4, 2)

Answer explanation

The vertex of a graph represents the highest or lowest point. In this case, (3, -1) is the correct vertex as it indicates the minimum value of the function, making it the lowest point on the graph.

What is the significance of the ordered pair (0, -2) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Answer explanation

The ordered pair (0, -2) represents the point where the graph intersects the y-axis. This means it is the y-intercept, confirming that when x=0, y=-2.

Tags

CCSS.HSF-IF.C.7A

What is the equation of the axis of symmetry?

• y = 0

• x = 0

• x = 3

• x = -3

Answer explanation

The axis of symmetry for a function is a vertical line that divides the graph into two mirror-image halves. For the equation given, the correct axis of symmetry is x = 0, which is the y-axis.

Tags

CCSS.HSF-IF.C.7A

What is another name for the x-intercepts of a quadratic?

• y-intercept

• Zeros

• x-axis

• They don't have another name

Answer explanation

The x-intercepts of a quadratic are also known as the 'zeros' of the function. This term refers to the values of x where the quadratic equation equals zero, indicating the points where the graph intersects the x-axis.

Tags

CCSS.HSF-IF.C.7C