1.) Determine the equation in standard form of the parabola with.. a) zeros 5 and 9, and with the point (11, 24) on the parabola

b) x-intercepts --7 and -9, and with the point (-6,-9) on the parabola.

c) zeros -5 and 1, and with y-intercept-10.

d) A-intercepts 0 and 6, and with the point (8,16) on the parabola.

e) zeros -2 and 0, and with the point (-5,-75) on the parabola.

f) x-intercepts 4 and -7, and with the point (-2,165) on the parabola.

g) zeros --7 and --3, and with y-intercept 21.

h) x-intercepts 4 and 4, and with y-intercept 32.

i) one x-intercept at 3, axis of symmetry: x = 4, and with y-intercept 60

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Step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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step-by-step explanation: