Answer: see proof below
<u>Step-by-step explanation:</u>

Use the following Identities:
sec Ф = 1/cos Ф
cos² Ф + sin² Ф = 1
<u>Proof LHS → RHS</u>






Step-by-step explanation:
Since the x-intercepts are -20 and 40, the line of symmetry is x = (-20 + 40)/2 = 10.
Now we have y = a(x - 10)² + 30, where a is an unknown constant. We can find a by using an x-intercept point.
=> (0) = a[(40) - 10]² + 30
=> 900a + 30 = 0, a = -1/30.
Hence the rule is y = -(x - 10)²/30 + 30.
Answer:
whats the question
Step-by-step explanation:
?
X = -b/2a
x = -8/4
x = -2
Plug -2 in for x and solve for y
y = 2(-2)^2 + 8(-2) -3
y = 8 -16 -3
y = -11
Vertex (-2, -11)