s24bwilliams s24bwilliams
  • 14-05-2022
  • Mathematics
contestada

h(t)=−(t−7)²+4

Write the smaller t first, and the larger t second.

smaller t=?

larger t=?


2) What is the vertex of the parabola?

(?,?)

Respuesta :

semsee45
semsee45 semsee45
  • 14-05-2022

Answer:

1.  smaller value of t = 5

   larger value of t = 9

2.  (7, 4)

Step-by-step explanation:

Given function:  [tex]h(t)=-(t-7)^2+4[/tex]

To find the zeros, set the function to zero and solve for t:

[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Therefore, the vertex of the given function is (7, 4)

Answer Link

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