1. The graph of y = x² – 2x – 3 is shown below. Answer each of the following questions using the graph. a) Does the parabola open upward or downward? b) State the vertex. c) State the roots/zeros/solutions/x-intercepts. d) Find the equation of the axis of symmetry. 2. The graph of y = -x+ 4x - 3 is shown below. Answer each of the following questions using the graph. a) Does the parabola open upward or downward? b) State the vertex. c) State the roots/zeros/solutions/x-intercepts. d) Find the equation of the axis of symmetry.

Q: The equation h = 2t^2 -16t+30 d a ball being tossed in the air. The variable h represents the height…

A: We have to find the t-intercepts, vertex and meaning of them in this situation.

Q: Determine the x-intercepts of the parabola whose graph is given below: the correct answers. Select…

A: We need to find x-intercepts in the given graph.

Q: 5. Graph the parabola y -2x² + 12x 11. Indicate the vertex and the intercepts. ==

A: We can solve it by general form of parabola as follows

Q: 1. Write the equation of a circle with a center at (-3, -4) and a radius of 7.

A: Given: Center of the circle=-3, -4Radius of the circle=7 To Find: The equation of the given circle

Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given below

Q: Solve the initial value problem below using the method of Laplace transforms. y" - 4y' - 12y = 0,…

A: Given equation is: y"-4y'-12y=0 ,y(0)=1,y'(0)=38 We have to find the value of y(x)

Q: 22 – 9a? = 1 4,

A: We have to sketch the graph of given equation.

Q: Find the roots, Y intercepts, and maximum or minimum value and sketch the following graphs. Y = x2+…

A: Solving    x2+5x+10 = 0 by the Quadratic Formula . QUADRATIC FORMULA Now ,applying the formula…

Q: (A) Sketch a graph of the court with A at the origin of your coordinate system, C on the positive y…

A: Given:

Q: Q4. Simplify the following expression: 3-5 x 39 Click on image to enlarge if needed 12 81 243 324

A: To evaluate :- 3-5 * 39

Q: 2. Fill in the blanks of the following chart. DO NOT complete the shaded boxes. Equation y= 2x² +8 y…

A: The given first equation is a quadratic equation and is given as  y=2x2+8. On graphing a quadratic…

Q: 1) Build the T-chart and graph the equation 2x + 4y = 8 %3D

A: Topic: Coordinate Geometry

Q: 4) Graph the following parabolic function. Indicate at least three points on the graph. y = - x2 +…

A: We need to draw graph.

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.