Answer:
Directrix
Step-by-step explanation:
Step-by-step explanation:
part A:
ABCD is transformed to obtain figure A′B′C′D′:
1) by reflection over x-axis, obtain the image :
A(-4,-4) B(-2,-2) C(-2, 1) D(-4, -1)
2) by translation T (7 0), obtain the image :
A'(3,-4) B'(5,-2) C'(5, 1) D'(3, -1)
part B:
the two figures are congruent.
the figures that transformed by reflection either or translation will obtain the images with the same shape and size (congruent)
<h3>
Answer: b = 4 and c = 7.</h3>
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Explanation:
Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.
The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.
Plug those three values into the vertex form below
y = a(x-h)^2 + k
y = 1(x-(-2))^2 + 3
y = (x+2)^2 + 3
Then expand everything out and simplify
y = x^2+4x+4 + 3
y = x^2+4x+7
We see that b = 4 and c = 7.
Answer:
increasing and linear
Step-by-step explanation:
Alright, for 10, let's see 2(x+3). Use the distributive property to multiply 2 with x, which is 2x. Then, multiply 2 with 3, which is 6. Add them together to get 2x+6. For the second part, 4 times x is 4x and 4 times negative 2 is -8. Add them all up and you get 2x+6+4x-8=6x-2. Remember that you can't add a variable with other variables/just numbers, and a minus sign in front of terms in parenthesis means that everything in the parenthesis is negative!
