algebra 1a - unit 6: exam

solve the system of equations. {y = x^2 + 2, x + y = 4}

(1, 3) and (−2, 6)

when the marshmallow hits the ground, what is its horizontal distance from the point where it was launched?

16.22 feet

the height of a triangle is 8 centimeters greater than three times its base. the area of the triangle is 128 square centimeters. what is the base of the triangle?

8 cm

which situation can be modeled by this graph?

a ball is thrown directly upward from an initial height of 7 feet, will reach a maximum height of 19.3 feet in 0.9 seconds, and finally will hit the ground in 2 seconds.

which of the following shows the graph of the equation y = 1/2(x + 2)^2 − 1?

https://assets.learnosity.com/organisations/625/asset/media/966043

match each parabola with the equation it represents.

https://assets.learnosity.com/organisations/625/asset/media/966055 : y = -(x + 3)^2 + 4 https://assets.learnosity.com/organisations/625/asset/media/966053 : y = (x + 3)^2 - 4 https://assets.learnosity.com/organisations/625/asset/media/966057 : y = (x - 3)^2 - 4 https://assets.learnosity.com/organisations/625/asset/media/966056 : y = -(x - 3)^2 + 4

which graph correctly represents the quadratic equation y = 1.3543x^2 + 5.86x − 2.67?

https://assets.learnosity.com/organisations/625/asset/media/966098

scott wants to solve the system of equations below. he calculates that the equations intersect at the points (0, 3) and (−2, −5). did scott find the correct solution?

no, the solution should be (−1, −1) and (3, 15).

the graph of the equation y = x^2 − x − 6 is shown below. for what value or values of x is y = 0?

x = -2 and x = 3

what is the equation of the line of symmetry for the parabola represented by the equation y = −2x^2 − 16x − 27?

x = -4

what are the solutions to the equation x^2 + 9x + 12 = 6?

x = −9/2 + √57/2; x = −9/2 − √57/2

select each equation that has no real solution.

x^2 + 3x + 6 = 0 x^2 − 12x + 60 = 12 2x^2 − 4x + 5 = −3