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Question 1 of 5
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Identify the vertex of the graph from the given formula.
y |
= |
a(x−h)2+k |
y |
= |
(x+1)2-5 |
Given equation |
y |
= |
a(x−(−1))2+(−5) |
Extract values of h and k |
Vertex |
= |
(h,k) |
Vertex |
= |
(−1,−5) |
Mark the vertex on the graph.
Next, solve for the y-intercept by substituting x=0.
y |
= |
(x+1)2-5 |
y |
= |
(0+1)2-5 |
Substitute x=0 |
y |
= |
1-5 |
y |
= |
-4 |
Mark the y-intercept on the graph.
Draw a parabola using the points.
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Question 2 of 5
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Identify the vertex of the graph from the given formula.
y |
= |
a(x−h)2+k |
y |
= |
-(x-1)2+2 |
Given equation |
y |
= |
(−1)(x−(1))2+(2) |
Extract values of h and k |
Vertex |
= |
(h,k) |
Vertex |
= |
(1,2) |
Mark the vertex on the graph.
Next, solve for the y-intercept by substituting x=0.
y |
= |
-(x-1)2+2 |
y |
= |
-(0-1)2+2 |
Substitute x=0 |
y |
= |
-1+2 |
y |
= |
1 |
Mark the y-intercept on the graph.
Draw a parabola using the points.
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Question 3 of 5
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Identify the vertex of the graph from the given formula.
y |
= |
a(x−h)2+k |
y |
= |
-(x+1)2-2 |
Given equation |
y |
= |
(−1)(x+(1))2−(2) |
Extract values of h and k |
Vertex |
= |
(h,k) |
Vertex |
= |
(−1,−2) |
Mark the vertex on the graph.
Next, solve for the y-intercept by substituting x=0.
y |
= |
-(x+1)2-2 |
y |
= |
-(0+1)2-2 |
Substitute x=0 |
y |
= |
-1-2 |
y |
= |
-3 |
Mark the y-intercept on the graph.
Draw a parabola using the points.
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Question 4 of 5
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Identify the vertex of the graph from the given formula.
y |
= |
a(x−h)2+k |
y |
= |
-(x-4)2+5 |
Given equation |
y |
= |
(−1)(x−(4))2+(5) |
Extract values of h and k |
Vertex |
= |
(h,k) |
Vertex |
= |
(4,5) |
Mark the vertex on the graph.
Next, solve for the y-intercept by substituting x=0.
y |
= |
-(x-4)2+5 |
y |
= |
-(0-4)2+5 |
Substitute x=0 |
y |
= |
-16+5 |
y |
= |
-11 |
Mark the y-intercept on the graph.
Draw a parabola using the points.
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Question 5 of 5
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Identify the vertex of the graph from the given formula.
y |
= |
a(x−h)2+k |
y |
= |
(x-3)2+2 |
Given equation |
y |
= |
(x−(3))2+(2) |
Extract values of h and k |
Vertex |
= |
(h,k) |
Vertex |
= |
(3,2) |
Mark the vertex on the graph.
Next, solve for the y-intercept by substituting x=0.
y |
= |
(x-3)2+2 |
y |
= |
(0-3)2+2 |
Substitute x=0 |
y |
= |
9+2 |
y |
= |
11 |
Mark the y-intercept on the graph.
Draw a parabola using the points.