Find the x-intercepts of the parabola with vertex (4,-1) and y-intercept (0,15). Write your answer in this form: (X1,Y1), (X2,72). If necessary, round to the nearest hundredth.

Question

JaceeR363987 JaceeR363987

04-11-2022
Mathematics

contestada

Find the x-intercepts of the parabola with vertex (4,-1) and y-intercept (0,15). Write your answer in this form: (X1,Y1), (X2,72). If necessary, round to the nearest hundredth.

Respuesta :

Otras preguntas

Josiaanswer this is it josia the question

HELP MEE look at the picture attached

i need help on this...how do i do it

How many more quarters does Tommy need before he has $3.00 in quarters?

Which of the following elements of classical pieces did Neoclassical artists seek to replicate? a. Precision b. Balance c. Rationality d. All of the above Pleas

What is the volume of this cone? Use 3.14 for pi and round your answer to the nearest tenth. In your answer, give the volume of the cone rounded to the nearest

The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.

5. Which of the following is NOT an element of impressionistic painting? (1 point) O photography O mood O color O perspectiveDONT BE: not sure, be off topic

Geometry: Trig Pile Up Activity

The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.

KhamyaP753091 KhamyaP753091 · Answer 1 · 2022-11-04T12:00:53+01:00

[tex]\begin{gathered} \text{ The parabola with vertex (4,-1) and y-intercept (0,15)} \\ \\ y=a(x-4)^2+(-1) \\ y=a(x-4)^2-1 \\ \\ 15=a(-4)^2-1 \\ 15=16a-1 \\ 16=16a \\ a=1 \\ \\ \text{ The equation of the parabola is } \\ y=(x-4)^2-1 \\ \\ \text{The x-intercepts ocur when y=0} \\ \\ (x-4)^2-1=0 \\ (x-4)^2=1 \\ (x-4)=\pm\sqrt[]{1} \\ x=4\pm1 \\ \\ \text{ The two x-intercepts are:} \\ \\ (5,0)\text{ and (3,0)} \end{gathered}[/tex]