Lesson 142.*27012X-2-1XTTO-2y=x²-4 (a = 1, b = 0, c = -4)1st differences-107yConcave up or down? Location of vertex3. y=x²+2x+3(a = 1, b = 2, c = 3)1of 8y1st differences+ Automatic Zoom2nd differences2nd differencesConcave up or down? Location of vertex (_____). 1.Use the following equations to create a table of values (sub each x value intothe equation to find the y value), calculate first and second differences, statevertex and direction of concave. Check each graph on desmos.y=-x² +1 (a = -1, b = 0, c = 1)X-2-1012of 8y+ Automatic Zoom1st differences 2nd differencesThis graph is described as concave down because it opens downward and haa Vertex at (0,1). Since the parabola is concave down, the maximum value ofthe curve is found at the vertex. The maximum value is the y-value at thevertex.

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X -2 -1 0 1 2 y 1st differences 2nd differ ces Concave up or down? Location of vertex (______).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter1: Expressions And Functions

Section1.8: Interpreting Graphs Of Functions

Problem 25PFA

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Question

Lesson 14
2.
*27012
X
-2
-1
XTTO-2
y=x²-4 (a = 1, b = 0, c = -4)
1st differences
-1
0
7
y
Concave up or down? Location of vertex
3. y=x²+2x+3
(a = 1, b = 2, c = 3)
1
of 8
y
1st differences
+ Automatic Zoom
2nd differences
2nd differences
Concave up or down? Location of vertex (
_____).

1.
Use the following equations to create a table of values (sub each x value into
the equation to find the y value), calculate first and second differences, state
vertex and direction of concave. Check each graph on desmos.
y=-x² +1 (a = -1, b = 0, c = 1)
X
-2
-1
0
1
2
of 8
y
+ Automatic Zoom
1st differences 2nd differences
This graph is described as concave down because it opens downward and ha
a Vertex at (0,1). Since the parabola is concave down, the maximum value of
the curve is found at the vertex. The maximum value is the y-value at the
vertex.

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