
7A Quadratic Function Features
Presentation
•
Mathematics
•
6th - 12th Grade
•
Easy
+1
Standards-aligned
Candace Warr
Used 3+ times
FREE Resource
7 Slides • 10 Questions
1
7A: graph quadratic functions on the coordinate plane and use the graph to identify key attributes, including x-intercept, y-intercept, zeros, maximumvalue, minimumvalue, vertex, and the equation of the axis of symmetry.
A quadratic function is one of the form
f(x) = ax2 + bx + c,
where a, b, and c are numbers with a not equal to zero.
The graph of a quadratic function is called a parabola and is u-shaped.
2
3
VERTEX : center point
MINIMUM : the y-value of the vertex when the parabola opens up
MAXIMUM : the y-value of the vertex when the parabola opens down
VERTEX
VERTEX
MINIMUM: -4
MAXIMUM: 0
4
Dropdown
Which coordinates best represent the vertex of the graph?
(
5
Math Response
Quadratic function h can be used to model the height in feet of a rocket from the ground t seconds after it was launched. The graph of the function is shown.
What is the maximum value of the graph of the function.
6
x-intercept : also called zero, root, and solution
x-value where the parabola touches the x-axis
written as an ordered pair (x, 0)
7
8
Hotspot
Where are the zeros of the quadratic function graphed?
9
Multiple Choice
Which graph best represents a quadratic function that has only one zero?
10
Multiple Select
The graph of a quadratic function is shown.
Which values best represent the zeros of the function?
Select ALL that apply.
x = 1
x = -4
x = -1
x = 3
x = -3
11
y-intercept : y-value where the parabola touches the y-axis
written as an ordered pair (0, y)
(0, 1)
12
Multiple Choice
The graph of quadratic function r is shown on the grid.
Which answer choice best represents the intercepts of the graph of r?
x-intercept: (5, 0)
y-intercepts: (0, 10) and (0, -2)
x-intercept: (0, -10) and (0, 2)
y-intercepts: (-5, 0)
x-intercept: (0, 5)
y-intercepts: (10, 0) and (-2, 0)
x-intercept: (-10, 0) and (2, 0)
y-intercepts: (0, -5)
13
Axis of Symmetry (AOS) : vertical line that passes through the vertex of the parabola, making it symmetrical on both sides (split in half)
written as an equation: x = x-value of the vertex
x = 1
14
Multiple Choice
Two characteristics of quadratic function p are given.
The axis of symmetry of the graph of p is x = -3.
Function p has exactly one zero.
Bases on this information, which graph could represent p?
15
Dropdown
The function has
The maximum value of the function is
The vertex of the graph of the function is
The equation of the axis of symmetry of the graph of the function is
16
Multiple Select
The graph of quadratic function k is shown on the grid.
Which statements are best supported by the graph of k?
Choose ALL that apply.
The x-intercept is located at (-3, 0)
The coordinates of the y-intercept are (0, 9)
The axis of symmetry is x = -3
The minimum is at -3
17
Labelling
Label the features of the quadratic function graphed on the grid.
x-intercept
y-intercept
zero
rate of change
axis of symmetry
exponent
slope
vertex
7A: graph quadratic functions on the coordinate plane and use the graph to identify key attributes, including x-intercept, y-intercept, zeros, maximumvalue, minimumvalue, vertex, and the equation of the axis of symmetry.
A quadratic function is one of the form
f(x) = ax2 + bx + c,
where a, b, and c are numbers with a not equal to zero.
The graph of a quadratic function is called a parabola and is u-shaped.
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