5. For the parabola f(x) = -2(x+3)2 – 10, find a) the coordinates of the vertex (-3,-10) b) the equation of the axis of symmetry C=-3 c) the direction of opening Opens down (compression) d) the domain of the function e) the range of the function

Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

Q: Find x-intercepts of the parabola y= -2x² + 3x + 3 (Round your answers to two decimal places.) Write…

A: Given: y=-2x2+3x+3   As we know that: To calculate the x-intercept, we need to solve for x after…

Q: 3. Find the vertex for the parabola 4x + 2y² + 8 = 0. (a) (0, -2) (b) (-2,0) (c) (2, 2) (d) (-2,1)

A: The equation of the parabola is  4x+2y2+8=0

Q: create a unique parabola for the pattern  fx=(x-a)(x-b), integers cannot be one or zero for a and b…

A: We have to create a unique parabola for the pattern  f(x)=(x-a)(x-b).

Q: FIND THE VERTEX USING X=-B/2A, THEN USE TABLE OF VALUES AND FIND 4 OTHER POINTS FOR A PARABOLA…

A: (a) y=x2+2x-4 We know that the vertex of the parabola y=ax2+bx+c is -b2a,y Therefore comparing the…

Q: What is the equation of the line that contains the vertices of the hyperbola (x + 4)² (y + 2)² -1? 9…

A: Finding the vertices

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Write the equation for a parabola that opens sideways, whose vertex is at (0, 2), and that passes…

A: We are required to: Write the equation of the parabola that open sideways whose vertex is at (0,2)…

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: =ar, easy to read sandth

A: We will find the coordinates.

Q: 6. Zeros a) Write the equation of the given parabola Factors 2 f(x)=(x )(x ) 4 -3 -2 3 4 -1 -1 6…

A:

Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.