Graphing Quadratic Functions — Test Answers

Which best describes the first error in Jan'ai's work?

If the vertex of the function is at the point 0 comma 0 point 5 , what is the recommended amount of mulch for a flowerbed with a radius of 20 feet? Round to the nearest tenth if necessary.

Write the function for A⁡(w) Enter your answers in the boxes.

The image of a parabolic lens is traced onto a graph. The function f of x is equal to 1 fourth open paren x plus 8 close paren open paren x minus 4 close paren represents the image. At which points does the image cross the x -axis?

A sculptor creates an arch in the shape of a parabola. When sketched onto a coordinate grid, the function f of x is equal to negative 2 x open paren x minus 8 close paren represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x What is the height of the arch, measured 3 inches from the left side of the arch?

The height of a baseball hit from a bat is modeled by a quadratic function of time, h of t What does the second coordinate of the vertex of the quadratic function represent?

The function cap c times x is equal to 400 x minus 0 point 2 x squared represents the total costs for a company to produce a product, where cap c is the total cost in dollars and x is the number of units sold. Which statement is true?

The axis of symmetry of a quadratic equation is x is equal to negative 3 If one of the zeroes of the equation is 4 , what is the other zero?

Which equation, when graphed, has x -intercepts at negative 1 comma 0 and negative 5 comma 0 and a y -intercept at 0 comma negative 30 ?

The function f of x is equal to negative 10 x open paren x minus 4 close paren represents the approximate height of a projectile launched from the ground into the air as a function of time in seconds, x How long, from launch to landing, does the projectile stay in the air?

Which equation, when graphed, has x -intercepts at 8 comma 0 and negative 2 comma 0 and a y -intercept at 0 comma negative 48 ?

The image of a parabolic mirror is sketched on a graph. The image can be represented using the function y is equal to negative 1 eighth x squared plus 2 , where x represents the horizontal distance from the maximum depth of the mirror and y represents the depth of the mirror as measured from the x -axis. How far away from the maximum depth is a point on the mirror that is 7 eighths inches in depth?

The zeros of a parabola are 6 and negative 5 If negative 1 comma 3 is a point on the graph, which equation can be solved to find the value of A in the equation of the parabola?

Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, cap A times w What does the second coordinate of the vertex of the quadratic function. cap A times w , represent?

The cost, cap c , to produce b baseball bats per day is modeled by the function cap c times b is equal to 0 point 0 6 b squared minus 7 point 2 b plus 390 What number of bats should be produced to keep costs at a minimum?

The path of a football kicked by a field goal kicker can be modeled by the equation y is equal to negative 0 point 0 4 x squared plus 1 point 5 6 x , where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football?

Which is the equation of the axis of symmetry of the graph of y is equal to negative 3 times open paren x minus 6 close paren squared plus 5 ?

On a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time. Time x Height y 0 10 2 24 16 10 How high was the ball after 8 seconds?

The height of an arch is modeled by the equation y is equal to negative x squared minus 6 x plus 16 Which of the following gives the width of the arch at its base?

The revenue, R , from selling x units of a product is modeled by the function R⁡(x)=−0.05⁢x^2+4.5⁢x+150 What number of units sold will maximize the revenue? Enter your answer in the box.