Calculate the side lengths a and b to two decimal places
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The question clearly seeks the highest values from both functions, meaning the vertices of each.
<span>The graph depicting the path of Ed’s football indicates the vertex's coordinates (the peak of the graph).
</span>
Specifically,
(h,k) = (1.5, 7.5)
Where (h,k) represents the vertex's location.
Conversely,<span>the trajectory of Steve's football is defined by the equation:
y = - 2x
²</span> + 5x + 4<span>To find the axis of symmetry, we use the formula:x = - b
÷ 2a
Where:
a = -2</span>
b = 5
Consequently,
x = - 5 ÷ - 4
x = 5 / 4
x = 1.25
Now substituting this x-value back into the main equation to determine y.
y = - 2x² + 5x + 4
y = - 2(1.25)² + 5(1.25) + 4
y = - 3.125 + 6.25 + 4
y = 7.125
Thus, the vertex (h,k) = (1.25, 7.125)
As observed from the calculations
Ed’s
<span>football attains a higher height.</span>
<span>The graph depicting the path of Ed’s football indicates the vertex's coordinates (the peak of the graph).
</span>
Specifically,
(h,k) = (1.5, 7.5)
Where (h,k) represents the vertex's location.
Conversely,<span>the trajectory of Steve's football is defined by the equation:
y = - 2x
²</span> + 5x + 4<span>To find the axis of symmetry, we use the formula:x = - b
÷ 2a
Where:
a = -2</span>
b = 5
Consequently,
x = - 5 ÷ - 4
x = 5 / 4
x = 1.25
Now substituting this x-value back into the main equation to determine y.
y = - 2x² + 5x + 4
y = - 2(1.25)² + 5(1.25) + 4
y = - 3.125 + 6.25 + 4
y = 7.125
Thus, the vertex (h,k) = (1.25, 7.125)
As observed from the calculations
Ed’s
<span>football attains a higher height.</span>