Answer:
4x² + 20x - 2
Step-by-step explanation:
To evaluate (c ○ d)(x), substitute x = d(x) into c(x)
c(x² + 5x)
= 4(x² + 5x) - 2
= 4x² + 20x - 2
Answer:
31/5
Step-by-step explanation:
[f(4) - f(-1)] / 4-(-1)
Answer:
The simple solutions are:
Right 6: (-2+6,-3) = (4,3)
Left 6: (-2-6,-3) = (-8,-3)
Up 6: (-2,-3+6) = (-2, 3)
Down 6: (-2,-3-6) = (-2,-9)
Those are for horizontal or vertical
line segments.
Step-by-step explanation:
It is called associated property.
The ( ) are moved around, but the answer will be the same.
Answer:
Discriminant is positive.
Step-by-step explanation:
From the given graph,
Vertex of the parabola = (-3, -2)
y - intercept of the parabola = (0, 1)
Vertex form of a parabola opening upwards is,
y = a(x- h)² + k
Here (h, k) is the vertex.
By substituting the values of the vertex in this equation.
y = a(x + 2)² - 3
Since this parabola passes through (0, 1)
1 = a(0 + 2)² - 3
a = 
a = 1
So the equation of the parabola will be
y = (x + 2)² - 3
y = x² + 4x + 4 - 3
y = x² + 4x + 1
Here a = 1, b = 4 and c = 1 (comparing with standard quadratic equation y = ax² + bx + c)
Discriminant of a quadratic equation is represented by,
(b² - 4ac)
Therefore, the value of discriminant = (4)² - 4(1)(1)
= 16 - 4
= 12
Therefore, discriminant of the given graph is positive.